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Expansions in Eigenfunctions of Selfadjoint Operators
About this Title
Ju. M. Berezanskiĭ. Translated by R. Bolstein, J. M. Danskin, J. Rovnyak and L. Shulman
Publication: Translations of Mathematical Monographs
Publication Year:
1968; Volume 17
ISBNs: 978-0-8218-1567-0 (print); 978-1-4704-4435-8 (online)
DOI: https://doi.org/10.1090/mmono/017
MathSciNet review: MR0222718
MSC: Primary 47.65; Secondary 34.00
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Spaces with negative norms and generalized functions
- Boundary value problems. General concepts
- Boundary value problems and smooth generalized solutions for elliptic equations. Green’s function
- Boundary value problems. Other types of equations
- General theory of expansions of selfadjoint operators in generalized eigenvectors
- Spectral theory for selfadjoint partial differential operators
- Spectral theory of selfadjoint difference operators
- Representation of a positive definite kernel in terms of elementary kernels