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1995 | OriginalPaper | Chapter

Hilbert Spaces, Orthogonality, and the Dirichlet Principle

Author : Eberhard Zeidler

Published in: Applied Functional Analysis

Publisher: Springer New York

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In a famous paper from 1857, Riemann used the Dirichlet principle for the foundation of the theory of complex analytic functions. In 1870 Weierstrass showed that there are variational problems that do not have any solution.1 This way the justification of the Dirichlet principle became an important open problem, which Hilbert solved in 1900.

Metadata
Title
Hilbert Spaces, Orthogonality, and the Dirichlet Principle
Author
Eberhard Zeidler
Copyright Year
1995
Publisher
Springer New York
Book
Applied Functional Analysis

Print ISBN: 978-1-4612-6910-6

Electronic ISBN: 978-1-4612-0815-0

Copyright Year: 1995

DOI
https://doi.org/10.1007/978-1-4612-0815-0_2

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