Published March 1965
| Published
Journal Article
Open
New Eigenfunction Expansions and Alternative Representations for the Reduced Wave Equation
- Creators
- Cohen, Donald S.
Abstract
It has long been known that certain integral transforms and Fourier-type series can be used methodically for the resolution of certain kinds of classical boundary and initial value problems in separable coordinate systems. More recently, it has been shown that these classical transforms and series are spectral representations associated with an ordinary differential system which results on applying separation of variables to the given boundary value problem. This has been the basis for recent work concerned with systematically generating the proper spectral representation needed to solve a given problem. See [1] and [2] for a list of references.
Additional Information
© 1965 Indiana University Mathematics Department. Communicated by J.B. Keller. The research reported in this paper was supported by the Air Office of Scientific Research under Grant No. AF-AFOSR-182-63. Reproduction in whole or in part is permitted for any purpose of the U. S. Government.Attached Files
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Additional details
- Eprint ID
- 100721
- Resolver ID
- CaltechAUTHORS:20200114-145236137
- AF-AFOSR-182-63
- Air Force Office of Scientific Research (AFOSR)
- Created
-
2020-01-15Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field