Keywords
- Compact Operator
- Singular Integral Operator
- Continuous Extension
- Finite Rank
- Norm Convergence
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References
H.O. Cordes, Banach algebras, singular integral operators and partial differential equations; Lecture Notes, Lund (1971)
—, A global parametrix for pseudo-differential operators over ℝn, with Applications. Bonner Mathematische Schriften (No. 90, SFB 72 (1976)).
—, and E. Herman, Gelfand theory of pseudo-differential operators. Amer.J.Math. 90 (1968) 681–717.
— and R.C. Mc. Owen, The C*-algebra of a singular elliptic problem on a non-compact Riemannian manifold, Math. Zeitschrift 153, 101–116 (1977).
— —, Remarks on singular elliptic theory for complete Riemannian manifolds; Pacific J. Math. 77 (1977).
P. Dirac, Principles of Quantum Mechanics; Oxford 1949.
J. Dixmier, Les C*-algèbres et leurs representations; Gauthier Villars, Paris (1964).
R.E. Edwards, Functional analysis, theory and applications; Holt Rinehart and Winston, New York 1965.
L. Garding, Dirichlet's problem for linear elliptic partial differential operators. Math.Scand. 1, 55–72 (1953).
E. Herman, The symbol of the algebra of singular integral operators; Journ.Math.Mech. 15 (1966) 147–156.
D. Hilbert, Grundzüge einer allgemeinen Theorie der Linearen Integralgleichungen; Chelsea Publ.Comp. New York, N.Y. 1953.
F. Riesz, Über Lineare Funktionalgleichungen; Acta Math. 41 (1918) 71–98.
C.E. Rickart, General theory of Banach algebras; van Nostrand, Princeton 1960.
M. Taylor, Gelfand theory of pseudo-differential operators and hypoelliptic operators. Trans.Amer.Math.Soc. 153, 495–510 (1971)
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Cordes, H.O. (1979). On the laplace comparison algebras for L2(ℝn). In: Elliptic Pseudo-Differential Operators — An Abstract Theory. Lecture Notes in Mathematics, vol 756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069817
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DOI: https://doi.org/10.1007/BFb0069817
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