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Periodic Boehmians II

Published online by Cambridge University Press:  17 April 2009

Dennis Nemzer
Dennis Nemzer
Affiliation:
Department of Mathematics, California State University, Stanislaus, Turlock California 95380, United States of America
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Abstract

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A space of periodic generalised functions, called boehmians, is investigated. The space of boehmians contains all periodic distributions. It is known that not every hyperfunction is a boehmian. We show that the converse is also true. We present some theorems which give sufficient conditions for a sequence of complex numbers to be the Fourier coefficients of a boehmian. Sufficient conditions (in terms of the Fourier coefficients) are obtained for a sequence of boehmians to converge. As an application, a Dirichlet problem is discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 271 - 278
Copyright
Copyright © Australian Mathematical Society 1991

References

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