Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abhyankar, S.S.: Algebraic geometry for scientists and engineers, Amer. Math. Soc, 1990, p. 3; 60.
Dimca, A.: Topics on real and complex singularities, Vieweg, 1987.
Griffiths, Ph., and Harris, J.: Principles of algebraic geometry, Wiley, 1978, p. 293; 507.
Walker, R.J.: Algebraic curves, Princeton Univ. Press, 1950, Reprint: Dover 1962.
References
Bonahon, F., and Siebenmann, L.: Geometric splittings of classical knots and the algebraic knots of Conway, Vol. 75 of Lecture Notes, London Math. Soc, to appear.
Conway, J.H.: ‘An enumeration of knots and links’, in J. Leech (ed.): Computational Problems in Abstract Algebra, Pergamon Press, 1969, pp. 329–358.
Lozano, M.: ‘Arcbodies’, Math. Proc. Cambridge Philos. Soc. 94 (1983), 253–260.
References
Habiro, K.: ‘Claspers and finite type invariants of links’, Geometry and Topology 4 (2000), 1–83.
Harikae, T., and Uchida, Y.: ‘Irregular dihedral branched coverings of knots’, in M. Bozhüyük (ed.): Topics in Knot Theory, Vol. 399 of NATO ASI Ser. C, Kluwer Acad. Publ., 1993, pp. 269–276.
Kirby, R.: ‘Problems in low-dimensional topology’, in W. Kazez (ed.): Geometric Topology (Proc. Georgia Internat. Topology Conf., 1993), Vol. 2 of Studies in Adv. Math., Amer. Math. Soc./IP, 1997, pp. 35–473.
Murakami, H., and Nakanishi, Y.: ‘On a certain move generating link homology’, Math. Ann. 284 (1989), 75–89.
Przytycki, J.H.: ‘3-coloring and other elementary invariants of knots’. Knot Theory, Vol. 42, Banach Center Publ., 1998, pp. 275–295.
Uchida, Y., in S. Suzuki (ed.): Knots ‘96, Proc. Fifth Internat. Research Inst. of MSJ, World Sci., 1997, pp. 109–113.
References
Banks, H.T., and Wade, J.G.: ‘Weak tau approximations for distributed parameter systems in inverse problems’, Numer. Fund. Anal. Optim. 12 (1991), 1–31.
Chaves, T., and Ortiz, E.L.: ‘On the numerical solution of two point boundary value problems for linear differential equations’, Z. Angew. Math. Mech. 48 (1968), 415–418.
Crisci, M.R., and Russo, E.: ‘A-stability of a class of methods for the numerical integration of certain linear systems of differential equations’, Math. Comput. 41 (1982), 431–435.
Crisci, M.R., and Russo, E.: ‘An extension of Ortiz’s recursive formulation of the tau method to certain linear systems of ordinary differential equations’, Math. Comput. 41 (1983), 27–42.
El Daou, M., Namasivayam, S., and Ortiz, E.L.: ‘Differential equations with piecewise approximate coefficients: discrete and continuous estimation for initial and boundary value problems’, Computers Math. Appl. 24 (1992), 33–47.
El Daou, M., and Ortiz, E.L.: ‘The tau method as an analytic tool in the discussion of equivalence results across numerical methods’, Computing 60 (1998), 365–376.
El Misiery, A.E.M., and Ortiz, E.L.: ‘Tau-lines: a new hybrid approach to the numerical treatment of crack problems based on the tau method’, Computer Methods in Applied Mechanics and Engin. 56 (1986), 265–282.
Fox, L., and Parker, I.B.: Chebyshev polynomials in numerical analysis, Oxford Univ. Press, 1968.
Freilich, J.G., and Ortiz, E.L.: ‘Numerical solution of systems of differential equations: an error analysis’, Math. Comput. 39 (1982), 467–479.
Froes Bunchaft, M.E.: ‘Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the tau method’, Math. Comput. 66,no. 218 (1997), 609–621.
Gotlieb, D., and Orszag, S.A.: Numerical analysis of spectral methods: Theory and applications, Philadelphia, 1977.
Hayman, W.K., and Ortiz, E.L.: ‘An upper bound for the largest zero of Hermite’s function with applications to subharmonic functions’, Proc. Royal Soc. Edinburgh 75A (1976), 183–197.
Hosseini Ali-Abadi, M., and Ortiz, E.L.: ‘The algebraic kernel method’, Numer. Fund. Anal. Optim. 12,no. 3–4 (1991), 339–360.
Hosseini Ali-Abadi, M., and Ortiz, E.L.: ‘A tau method based on non-uniform space-time elements for the numerical simulation of solitons’, Computers Math. Appl. 22 (1991), 7–19.
Khajah, H.G., and Ortiz, E.L.: ‘Numerical approximation of solutions of functional equations using the tau method’, Appl. Numer. Anal. 9 (1992), 461–474.
Khajah, H.G., and Ortiz, E.L.: ‘Ultra-high precision computations’, Computers Math. Appl. 27,no. 7 (1993), 41–57.
Lanczos, C.: ‘Trigonometric interpolation of empirical and analytic functions’, J. Math, and Physics 17 (1938), 123–199.
Lanczos, C.: Applied analysis, New Jersey, 1956.
Liu, K.M., and Ortiz, E.L.: ‘Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly’, J. Comput. Phys. 72 (1987), 299–310.
Liu, K.M., and Ortiz, E.L.: ‘Numerical solution of ordinary and partial functional-differential eigenvalue problems with the tau method’, Computing 41 (1989), 205–217.
Luke, Y.L.: The special functions and their approximations I–II, New York, 1969.
Navasimayan, S., and Ortiz, E.L.: ‘Best approximation and the numerical solution of partial differential equations with the tau method’, Portugal. Math. 41 (1985), 97–119.
Onumanyi, P., and Ortiz, E.L.: ‘Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the tau method’, Math. Comput. 43 (1984), 189–203.
Ortiz, E.L.: ‘The tau method’, SIAM J. Numer. Anal. 6 (1969), 480–492.
Ortiz, E.L.: ‘On the numerical solution of nonlinear and functional differential equations with the tau method’, in R. Ansorge and W. Tornig (eds.): Numerical Treatment of Differential Equations in Applications, Berlin, 1978, pp. 127–139.
Ortiz, E.L., and Pham Ngoc Dinh, A.: ‘Linear recursive schemes associated with some nonlinear partial differential equations in one dimension and the tau method’, SIAM J. Math. Anal. 18 (1987), 452–464.
Ortiz, E.L., and Samara, H.: ‘An operational approach to the tau method for the numerical solution of nonlinear differential equations’, Computing 27 (1981), 15–25.
Ortiz, E.L., and Samara, H.: ‘Numerical solution of partial differential equations with variable coefficients with an operational approach to the tau method’, Computers Math. Appl. 10,no. 1 (1984), 5–13.
Pun, K.S., and Ortiz, E.L.: ‘A bidimensional tau-elements method for the numerical solution of nonlinear partial differential equations, with an application to Burgers equation’, Computers Math. Appl. 12B (1986), 1225–1240.
Rivlin, T.J.: The Chebyshev polynomials, New York, 1974, 2nd. ed. 1990.
Wright, K.: ‘Some relationships between implicit Runge-Kutta, collocation and Lanczos tau methods’, BIT 10 (1970), 218–227.
References
Albrecht, E., and Vasilescu, F.-H.: ‘Semi-Fredholm complexes’, Oper. Th. Adv. Appl. 11 (1983), 15–39.
Ambrozie, C.-G., and Vasilescu, F.-H.: Banach space complexes, Kluwer Acad. Publ, 1995.
Berger, C., and Coburn, L.: ‘Wiener-Hopf operators on U 2’ Integral Eq. Oper. Th. 2 (1979), 139–173.
Berger, C., Coburn, L., and Koranyi, A.: ‘Opérateurs de Wiener-Hopf sur les spheres de Lie’, C.R. Acad. Sci. Paris Ser. A 290 (1980), 989–991.
Curto, R.: ‘Spectral permanence for joint spectra’, Trans. Amer. Math. Soc. 270 (1982), 659–665.
Curto, R.: ‘Applications of several complex variables to multiparameter spectral theory’, in J.B. Conway and B.B. Morrel (eds.): Surveys of Some Recent Results in Operator Theory II, Vol. 192 of Pitman Res. Notes in Math., Longman Sci. Tech., 1988, pp. 25–90.
Curto, R., and Fialkow, L.: ‘The spectral picture of (L A,RB)’, J. Fund. Anal. 71 (1987), 371–392.
Curto, R., and Muhly, P.: ‘C*-algebras of multiplication operators on Bergman spaces’, J. Fund. Anal. 64 (1985), 315–329.
Curto, R., and Salinas, N.: ‘Spectral properties of cyclic subnormal m-tuples’, Amer. J. Math. 107 (1985), 113–138.
Curto, R., and Yan, K.: ‘The spectral picture of Reinhardt measures’, J. Fund. Anal. 131 (1995), 279–301.
Eschmeier, J., and Putinar, M.: Spectral decompositions and analytic sheaves, London Math. Soc. Monographs. Oxford Sci. Publ., 1996.
Laursen, K., and Neumann, M.: Introduction to local spectral theory, London Math. Soc. Monographs. Oxford Univ. Press, 2000.
Putinar, M.: ‘Uniqueness of Taylor’s functional calculus’, Proc. Amer. Math. Soc. 89 (1983), 647–650.
Putinar, M.: ‘Spectral inclusion for subnormal n-tuples’, Proc. Amer. Math. Soc. 90 (1984), 405–406.
Salinas, N.: ‘The δ-formalism and the C*-algebra of the Bergman n-tuple’, J. Oper. Th. 22 (1989), 325–343.
Salinas, N., Sheu, A., and Upmeier, H.: ‘Toeplitz operators on pseudoconvex domains and foliation C*-algebras’, Ann. of Math. 130 (1989), 531–565.
Taylor, J.L.: ‘The analytic functional calculus for several commuting operators’, Ada Math. 125 (1970), 1–48.
Taylor, J.L.: ‘A joint spectrum for several commuting operators’, J. Fund. Anal. 6 (1970), 172–191.
Upmeier, H.: ‘Toeplitz C*-algebras on bounded symmetric domains’, Ann. of Math. 119 (1984), 549–576.
Vasilescu, F.-H.: Analytic functional calculus and spectral decompositions, Reidel, 1982.
Venugopalkrishna, U.: ‘Fredholm operators associated with strongly pseudoconvex domains in Cn’, J. Funct. Anal. 9 (1972), 349–373.
References
Gaier, D.: Konstruktive Methoden der konformen Abbildung, Springer, 1964.
Gutknecht, M.H.: ‘Solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods’, Numer. Math. 36 (1981), 405–429.
Gutknecht, M.H.: ‘Numerical experiments on solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods’, SIAM J. Sci. Statist. Comput. 4 (1983), 1–30.
Gutknecht, M.H.: ‘Numerical conformal mapping methods based on function conjugation’, J. Comput. Appl. Math. 14 (1986), 31–77.
Hübner, O.: ‘The Newton method for solving the Theodorsen equation’, J. Comput. Appl. Math. 14 (1986), 19–30.
Kythe, P.K.: Computational conformal mapping, Birkhäuser, 1998.
Theodorsen, T.: ‘Theory of wing sections of arbitrary shape’, Kept. NACA 411 (1931).
Theodorsen, T., and Garrick, I.E.: ‘General potential theory of arbitrary wing sections’, Rept. NACA 452 (1933).
Wegmann, R.: ‘Ein Iterationsverfahren zur konformen Abbildung’, Numer. Math. 30 (1978), 453–466.
Wegmann, R.: ‘An iterative method for conformal mapping’, J. Comput. Appl. Math. 14 (1986), 7–18, English translation of [9]. (In German.)
Wegmann, R.: ‘An iterative method for the conformal mapping of doubly connected regions’, J. Comput. Appl. Math. 14 (1986), 79–98.
References
Berger, A.: Mathematik der Lebensversicherung, Springer Wien, 1939.
Gram, J.P.: ‘Professor Thiele som aktuar’, Dansk Forsikringsärbog (1910), 26–37.
Hald, A.: ‘T.N. Thiele’s contributions to statistics’, Internat. Statist. Rev. 49 (1981), 1–20.
Hald, A.: A history of mathematical statistics from 1750 to 1930, Wiley, 1998.
Hoem, J.M.: ‘The reticent trio: Some little-known early discoveries in insurance mathematics by L.H.F. Oppermann, T.N. Thiele, and J.P. Gram’, Internat. Statist. Rev. 51 (1983), 213–221.
Johnson, N.L., and Kotz, S. (eds.): Leading personalities in statistical science, Wiley, 1997.
Jørgensen, N.R.: Grundzüge einer Theorie der Lebensversicherung, G. Fischer, 1913.
Norberg, R.: ‘Reserves in life and pension insurance’, Scand. Actuarial J. (1991), 1–22.
Norberg, R.: Thorvald Nicolai Thiele, statisticians of the centuries, Internat. Statist. Inst., 2001.
Schweder, T.: ‘Scandinavian statistics, some early lines of development’, Scand. J. Statist. 7 (1980), 113–129.
Thiele, T.N.: Elementœr Iagttagelseslœre, Gyldendal, Copenhagen, 1897.
Thiele, T.N.: Theory of observations, Layton, London, 1903, Reprinted in: Ann. Statist. 2 (1931), 165–308. (Translated from the Danish edition 1897.)
Thiele, T.N.: Interpolationsrechnung, Teubner, 1909.
References
Briançon, J., and Speder, J.P.: ‘La trivialité topologique n’implique pas les conditions de Whitney’, Note C.R. Acad. Sci. Paris Ser. A 280 (1975), 365.
Goresky, M., and MacPherson, R.: Stratified Morse theory, Springer, 1988.
Lê, D.T., and Teissier, B.: ‘Cycles évanescents, sections planes et conditions de Whitney II’: Proc. Symp. Pure Math., Vol. 40, Amer. Math. Soc, 1983, pp. 65–103.
Mather, J.: Notes on topological stability, Harvard Univ., 1970.
Thom, R.: ‘La stabilité topologique des applications polynomiales’, Enseign. Math. 8,no. 2 (1962), 24–33.
Thom, R.: ‘Ensembles et morphismes stratifyés’, Bull. Amer. Math. Soc. 75 (1969), 240–284.
Whitney, H.: ‘Local properties of analytic varieties’, in S. Cairns (ed.): Differential and Combinatorial Topology, Princeton Univ. Press, 1965, pp. 205–244.
Whitney, H.: ‘Tangents to an analytic variety’, Ann. of Math. 81 (1965), 496–549.
References
Assem, I.: ‘Tilting theory — an introduction’, in N. Balcerzyk et al. (eds.): Topics in Algebra, Vol. 26, Banach Center Publ., 1990, pp. 127–180.
Auslander, M., Platzeck, M.I., and Reiten, I.: ‘Coxeter functors without diagrams’, Trans. Amer. Math. Soc. 250 (1979), 1–46.
Bernstein, I.N., Gelfand, I.M., and Ponomarow, V.A.: ‘Coxeter functors and Gabriel’s theorem’, Russian Math. Surveys 28 (1973), 17–32.
Bongartz, K.: ‘Tilted algebras’, in M. Auslander and E. Lluis (eds.): Representations of Algebras. Proc. ICRA III, Vol. 903 of Lecture Notes in Mathematics, Springer, 1981, pp. 26–38.
Brenner, S., and Butler, M.: ‘Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors’, in V. Dlab and P. Gabriel (eds.): Representation Theory II. Proc. ICRA II, Vol. 832 of Lecture Notes in Mathematics, Springer, 1980, pp. 103–169.
Happel, D.: Triangulated categories in the representation theory of finite dimensional algebras, Vol. 119 of London Math. Soc. Lecture Notes, Cambridge Univ. Press, 1988.
Happel, D., Reiten, I., and Smalø, S.O.: ‘Tilting in abelian categories and quasitilted algebras’, Memoirs Amer. Math. Soc. 575 (1996).
Happel, D., and Ringel, CM.: ‘Tilted algebras’, Trans. Amer. Math. Soc. 274 (1982), 399–443.
Kerner, O.: ‘Tilting wild algebras’, J. London Math. Soc. 39,no. 2 (1989), 29–47.
Kerner, O.: ‘Wild tilted algebras revisited’, Colloq. Math. 73 (1997), 67–81.
Liu, S.: ‘The connected components of the Auslander-Reiten quiver of a tilted algebra’, J. Algebra 161 (1993), 505–523.
Ringel, C.M.: Tame algebras and integral quadratic forms, Vol. 1099 of Lecture Notes in Mathematics, Springer, 1984.
Ringel, C.M.: ‘The regular components of the Auslander-Reiten Quiver of a tilted algebra’, Chinese Ann. Math. Ser. B. 9 (1988), 1–18.
Strauss, H.: ‘On the perpendicular category of a partial tilting module’, J. Algebra 144 (1991), 43–66.
References
Andersen, H.H.: ‘Tensor products of quantized tilting modules’, Commun. Math. Phys. 149,no. 1 (1992), 149–159.
Assem, I.: ‘Tilting theory-an introduction’: Topics in Algebra, Vol. 26 of Banach Center Publ, PWN, 1990, pp. 127–180.
Auslander, M., Platzeck, M.I., and Reiten, I.: ‘Coxeter functors without diagrams’, Trans. Amer. Math. Soc. 250 (1979), 1–12.
Auslander, M., and Reiten, I.: ‘Applications of contravariantly finite subcategories’, Adv. Math. 86,no. 1 (1991), 111–152.
Bernstein, I.N., Gelpand, I.M., and Ponomarev, V.A.: ‘Coxeter functors and Gabriel’s theorem’, Russian Math. Surveys 28 (1973), 17–32. (Uspekhi Mat. Nauk. 28 (1973), 19–33.)
Brenner, S., and Butler, M.C.R.: ‘Generalization of Bernstein-Gelfand-Ponomarev reflection functors’: Proc. Ottawa Conj. on Representation Theory, 1979, Vol. 832 of Lecture Notes in Mathematics, Springer, 1980, pp. 103–169.
Crawley-Boevby, W., and Kerner, O.: ‘A functor between categories of regular modules for wild hereditary algebras’, Math. Ann. 298 (1994), 481–487.
Donkin, S.: ‘On tilting modules for algebraic groups’, Math. Z. 212,no. 1 (1993), 39–60.
Geigle, W., and Lenzing, H.: ‘Perpendicular categories with applications to representations and sheaves’, J. Algebra 144 (1991), 273–343.
Happel, D.: ‘Triangulated categories in the representation theory of finite dimensional algebras’, London Math. Soc. Lecture Notes 119 (1988).
Happel, D.: ‘A characterization of hereditary categories with tilting object’, preprint (2000).
Happel, D., Reiten, R., and Smalø, S.O.: ‘Tilting in abelian categories and quasitilted algebras’, Memoirs Amer. Math. Soc. 575 (1996).
Happel, D., and Ringel, CM.: ‘Tilted algebras’, Trans. Amer. Math. Soc. 274 (1982), 399–443.
Happel, D., and Unger, L.: ‘Modules of finite projective dimension and cocovers’, Math. Ann. 306 (1996), 445–457.
Kerner, O.: ‘Tilting wild algebras’, J. London Math. Soc. 39,no. 2 (1989), 29–47.
Miyashita, Y.: ‘Tilting modules of finite projective dimension’, Math. Z. 193 (1986), 113–146.
Reiten, I.: ‘Tilting theory and quasitilted algebras’: Proc. Internat. Congress Math. Berlin, Vol. II, 1998, pp. 109–120.
Rickard, J.: ‘Morita theory for derived categories’, J. London Math. Soc. 39,no. 2 (1989), 436–456.
Ringel, C.M.: ‘The canonical algebras’: Topics in Algebra, Vol. 26:1 of Banach Center Publ., PWN, 1990, pp. 407–432.
Ringel, C.M.: ‘The category of modules with good filtration over a quasi-hereditary algebra has alost split sequences’, Math. Z. 208 (1991), 209–224.
Unger, L.: ‘The simplicial complex of tilting modules over quiver algebras’, Proc. London Math. Soc. 73,no. 3 (1996), 27–46.
Unger, L.: ‘Shellability of simplicial complexes arising in representation theory’, Adv. Math. 144 (1999), 221–246.
References
Auslander, V.I., Reiten, I., and Smalø, S.: Representation theory of Artin algebras, Vol. 36 of Studies Adv. Math., Cambridge Univ. Press, 1995.
Bernstein, I.N., Gelfand, I.M., and Ponomarev, V.A.: ‘Coxeter functors and Gabriel’s theorem’, Russian Math. Surveys 28 (1973), 17–32. (Uspekhi Mat. Nauk. 28 (1973), 19–33.)
Bongartz, K.: ‘Algebras and quadratic forms’, J. London Math. Soc. 28 (1983), 461–469.
Dlab, V., and Rlngel, C.M.: Indecomposable representations of graphs and algebras, Vol. 173 of Memoirs, Amer. Math. Soc, 1976.
Drozd, Yu.A.: ‘Coxeter transformations and representations of partially ordered sets’, Funkts. Anal. Prilozhen. 8 (1974), 34–42. (In Russian.)
Drozd, Yu.A.: ‘On tame and wild matrix problems’: Matrix Problems, Akad. Nauk. Ukr. SSR., Inst. Mat. Kiev, 1977, pp. 104–114. (In Russian.)
Drozd, Yu.A.: ‘Tame and wild matrix problems’: Representations and Quadratic Forms, 1979, pp. 39–74. (In Russian.)
Gabriel, P.: ‘Unzerlegbare Darstellungen 1’, Manuscripta Math. 6 (1972), 71–103, Also: Berichtigungen 6 (1972), 309.
Gabriel, P.: ‘Représentations indécomposables’: Séminaire Bourbaki (1973/74), Vol. 431 of Lecture Notes in Mathematics, Springer, 1975, pp. 143–169.
Gabriel, P., and Roiter, A.V.: ‘Representations of finite dimensional algebras’: Algebra VIII, Vol. 73 of Encycl. Math. Stud., Springer, 1992.
Kasjan, S., and Simson, D.: ‘Tame prinjective type and Tits form of two-peak posets II’, J. Algebra 187 (1997), 71–96.
Nazarova, L.A.: ‘Representations of quivers of infinite type’, Izv. Akad. Nauk. SSSR 37 (1973), 752–791. (In Russian.)
Peña, J.A. de la: ‘Algebras with hypercritical Tits form’: Topics in Algebra, Vol. 26: 1 of Banach Center Publ, PWN, 1990, pp. 353–369.
Peña, J.A. de la: ‘On the dimension of the module-varieties of tame and wild algebras’, Commun. Algebra 19 (1991), 1795–1807.
Peña, J.A. de la, and Simson, D.: ‘Prinjective modules, reflection functors, quadratic forms and Auslander—Reiten sequences’, Trans. Amer. Math. Soc. 329 (1992), 733–753.
Peña, J.A. de la, and Skowroński, A.: ‘The Euler and Tits forms of a tame algebra’, Math. Ann. 315 (2000), 37–59.
Ringel, C.M.: Tame algebras and integral quadratic forms, Vol. 1099 of Lecture Notes in Mathematics, Springer, 1984.
Roiter, A.V., and Kleiner, M.M.: Representations of differential graded categories, Vol. 488 of Lecture Notes in Mathematics, Springer, 1975, pp. 316–339.
Simson, D.: Linear representations of partially ordered sets and vector space categories, Vol. 4 of Algebra, Logic Appl., Gordon & Breach, 1992.
Simson, D.: ‘Posets of finite prinjective type and a class of orders’, J. Pure Appl. Algebra 90 (1993), 77–103.
Simson, D.: ‘Representation types, Tits reduced quadratic forms and orbit problems for lattices over orders’, Contemp. Math. 229 (1998), 307–342.
Simson, D.: ‘Coalgebras, comodules, pseudocompact algebras and tame comodule type’, Colloq. Math, in press (2001).
References
Boutet de Monvel, L.: ‘On the index of Toeplitz operators of several complex variables’, Invent. Math. 50 (1979), 249–272.
Coburn, L.: ‘Singular integral operators and Toeplitz operators on odd spheres’, Indiana Univ. Math. J. 23 (1973), 433–439.
Douglas, R., and Howe, R.: ‘On the C*-algebra of Toeplitz operators on the quarter-plane’, Trans. Amer. Math. Soc. 158 (1971), 203–217.
Landstad, M., Phillips, J., Raeburn, I., and Sutherland, C: ‘Representations of crossed products by coactions and principal bundles’, Trans. Amer. Math. Soc. 299 (1987), 747–784.
Muhly, P., and Renault, J.: ‘C*-algebras of multivariable Wiener-Hopf operators’, Trans. Amer. Math. Soc. 274 (1982), 1–44.
Salinas, N., Sheu, A., and Upmeier, H.: ‘Toeplitz operators on pseudoconvex domains and foliation algebras’, Ann. Math. 130 (1989), 531–565.
Upmeier, H.: ‘Toeplitz C*-algebras on bounded symmetric domains’, Ann. Math. 119 (1984), 549–576.
Upmeier, H.: ‘Toeplitz operators on symmetric Siegel domains’, Math. Ann. 271 (1985), 401–414.
Upmeier, H.: Toeplitz operators and index theory in several complex variables, Birkhäuser, 1996.
Venugopalkrishna, U.: ‘Fredholm operators associated with strongly pseudoconvex domains in C n’, J. Fund. Anal. 9 (1972), 349–373.
Wassermann, A.: ‘Algèbres d’opérateurs de Toeplitz sur les groupes unitaires’, C.R. Acad. Sci. Paris 299 (1984), 871–874.
References
Fleishnee, H.: ‘Traversing graphs: The Eulerian and Hamiltonian theme’, in M. Dror (ed.): Arc Routing: Theory, Solutions, and Applications, Kluwer Acad. Publ., 2000.
Lawler, E.L., Lenstra, J.K., Rinnoy Kan, A.H.G., and Shmoys, D.B. (eds.): The traveling salesman problem, Wiley, 1985.
References
Johnson, R.A.: Modern geometry, Houghton-Mifflin, 1929.
Kimberling, C. ‘Triangle centres and central triangles’, Congr. Numer. 129 (1998), 1–285.
References
Shannon, A.: ‘Tribonacci numbers and Pascal’s pyramid’, The Fibonacci Quart. 15,no. 3 (1977), 268; 275.
Spickerman, W.: ‘Binet’s formula for the Tribonacci sequence’, The Fibonacci Quart. 15,no. 3 (1977), 268; 275.
References
Atanassov, K., Hlebarova, J., and Mihov, S.: ‘Recurrent formulas of the generalized Fibonacci and Tribonacci sequences’, The Fibonacci Quart. 30,no. 1 (1992), 77–79.
Bruce, I,: ‘A modified Tribonacci sequence’, The Fibonacci Quart. 22,no. 3 (1984), 244–246.
Feinberg, M.: ‘Fibonacci-Tribonacci’, The Fibonacci Quart. 1,no. 3 (1963), 71–74.
Lee, J.-Z., and Lee, J.-S.: ‘Some properties of the generalization of the Fibonacci sequence’, The Fibonacci Quart. 25,no. 2 (1987), 111–117.
Scott, A., Delaney, T., and Hoggatt Jr., V.: s‘The Tribonacci sequence’, The Fibonacci Quart. 15,no. 3 (1977), 193–200.
Shannon, A.: ‘Tribonacci numbers and Pascal’s pyramid’, The Fibonacci Quart. 15,no. 3 (1977), 268; 275.
Valavigi, C.: ‘Properties of Tribonacci numbers’, The Fibonacci Quart. 10,no. 3 (1972), 231–246.
References
Boyd, J.P.: Chebyshev and Fourier spectral methods, second ed., Dover, 2000, pdf version: http://www-personal.engin.umich.edu/~jpboyd/book_spectral2000.html.
Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A.: Spectral methods in fluid dynamics, Springer, 1987.
Fornberg, B.: A practical guide to pseudospectral methods, Vol. 10 of Cambridge Monographs Appl. Comput. Math., Cambridge Univ. Press, 1996.
Gottlieb, D., Hussaini, M.Y., and Orszag, S.A.: ‘Theory and application of spectral methods’, in R.G. Voigt, D. Gottlieb, and M.Y. Hussaini (eds.): Spectral Methods for Partial Differential Equations, SIAM, 1984.
Gottlieb, D., and Orszag, S.A.: Numerical analysis of spectral methods: Theory and applications, SIAM, 1977.
Editor information
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this chapter
Cite this chapter
(2001). T. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics, Supplement III. Encyclopaedia of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-0-306-48373-8_20
Download citation
DOI: https://doi.org/10.1007/978-0-306-48373-8_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0198-7
Online ISBN: 978-0-306-48373-8
eBook Packages: Springer Book Archive