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Pseudo-differential equations connected with p-adic forms and local zeta functions

Published online by Cambridge University Press:  17 April 2009

W. A. Zuniga-Galindo
W. A. Zuniga-Galindo
Affiliation:
Department of Mathematics and Computer Science, Barry University, 11300 N.E.Second Avenue, Miami Shores, FL 33161, United States of America, e-mail: wzuniga@mail.barry.edu
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We study the asymptotics of fundamental solutions of p-adic pseudo-differential equations of type where f(∂,β) is a pseudo-differential operator with symbol , f is a form of arbitrary degree with coefficients in a p-adic field, λ ≥ 0, and g is a Schwartz-Bruhat function.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 1 , August 2004 , pp. 73 - 86
Copyright
Copyright © Australian Mathematical Society 2004

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