On an eigenfunction expansion associated with a condition of radiation. II-Reference-Cited by-同舟云学术

On an eigenfunction expansion associated with a condition of radiation. II

Published:1973-11 Issue:3 Volume:74 Page:485-496
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Naylor D.,Choo F. C.,Barclay D. W.

Abstract

In this paper the authors consider a problem, frequently encountered in diffraction theory, of expanding a given function f(r) in terms of a set of orthogonal functions which is not complete. The expansion in question can be written as

where r < a and

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. The zeros of the Hankel function as a function of its order

2. On an integral transform associated with a condition of radiation

3. On an eigenfunction expansion associated with a condition of radiation

4. (3) Pflumm E. Expansion problems arising from the Watson transformation. New York University, Division of Electromagnetic Research, Report BR 35, 1960.

5. Eigenfunction expansions and non-selfadjoint boundary value problems

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1. On an integral transform;Glasgow Mathematical Journal;1979-01

2. On a Nonself Adjoint Eigenfunction Expansion;SIAM Journal on Mathematical Analysis;1978-10

3. On an Expansion Problem Occurring in the Theory of Diffraction;SIAM Journal on Mathematical Analysis;1975-02

4. On an integral transform associated with a condition of radiation, part 2;Mathematical Proceedings of the Cambridge Philosophical Society;1975-01