Literatur
Agmon, S.: On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems. Commun. pure appl. Math.18, 627–663 (1965)
Berezanskii, Ju. M.: Expansions in eigenfunctions of selfadjoint operators. Translations of Mathematical Monographs 17 Providence (R.I.): American Mathematical Society 1968
Browder, F. E.: Estimates and existence theorems for elliptic boundary value problems. Proc. nat. Acad. Sci. USA45,365–372 (1959)
Browder, F. E.: Functional analysis and partial differential equations II. Math. Ann145, 81–226 (1962)
Faris, W.G.: Self-adjoint Operators. Lecture Notes in Mathematics 433. Berlin-Heidelberg-New York: Springer 1975
Ikebe, T.: Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory. Arch. rat. Mech. Analysis5, 1–34 (1960)
Jörgens, K.: Lineare Integraloperatoren. Stuttgart: B. G. Teubner 1970
Kato, T.: Perturbation Theory for Linear Operators. Berlin-Heidelberg-New York: Springer 1966
Korotkov, V. B.:Integral representations of linear operators. Siber. math. Žurn.15, 379–391 (1974)
Maurin, K.: Abbildungen von Hilbert-Schmidtschen Typus und ihre Anwendungen. Math. Scandinav.9, 359–371 (1961)
Michael, E.: Continuous selections I. Ann. of Math., II. Ser.63, 361–382 (1956)
Schaefer, H.H., Schlotterbeck, U.: On the approximation of kernel operators by operators of finite rank. J. Approximation Theory13, 33–39 (1975)
Schechter, M.: Spectra of Partial Differential Operators. Amsterdam-London: North-Holland 1971
Stork, W.: Reproduzierende Kerne, Fundamentalkerne und Resolventenkerne. Math. Scandinav. (Erscheint demnächst)
Weidmann, J.: Carleman-Operatoren. Manuscripta math.2, 1–38 (1970)
Wildgrube, M.: Carleman-Operatoren in Banachräumen. Diplomarbeit, J.W. Goethe-Universität Frankfurt/M 1974
Wloka, J.: Grundräume und verallgemeinerte Funktionen. Lecture notes in Mathematics 82. Berlin-Heidelberg-New York: Springer 1969
Yosida, K.: Functional analysis. 2. Aufl. Berlin-Heidelberg-New York: Springer 1968
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Stork, W. Resolventenkerne, Carleman-Operatoren inL p -Räumen und Hille-Tamarkin-Operatoren. Math Z 153, 167–177 (1977). https://doi.org/10.1007/BF01179790
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01179790