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On the behaviour of eigenfunction expansions in the complex domain

Published online by Cambridge University Press:  14 November 2011

Gerhard Freiling
Affiliation:
Universität-Gesamthochschule-Duisburg, Fachbereich 11 /Mathematik, Lotharstr. 65, 4100 Duisburg 1, Germany

Synopsis

By using asymptotic estimates for the eigenvalues and eigenfunctions or irregular boundary value problems, we state necessary conditions for the pointwise convergence and for the divergence of the corresponding eigenfunction expansions.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1986

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