1995 | OriginalPaper | Chapter
Eigenvalue Problems for Linear Compact Symmetric Operators
Author : Eberhard Zeidler
Published in: Applied Functional Analysis
Publisher: Springer New York
Included in: Professional Book Archive
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In this chapter we want to study the following eigenvalue problem: $$Au\, = \lambda u,\;\quad u \in X,\quad \lambda \in \mathbb{K},\quad u \ne 0,$$on the Hilbert space X over K,along with applications to integral equations and boundary-value problems.