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Theory of p-adic distributions : linear and nonlinear models

Author: Хренников, А. Ю Шелкович, В. М. ; Sergio Albeverio; A I︠U︡ Khrennikov; V M Shelkovich
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2010.
Series: London Mathematical Society lecture note series, 370.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
A wide-ranging survey of new and important topics in p-adic analysis for researchers and graduate students.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Хренников, А. Ю Шелкович, В. М. ; Sergio Albeverio; A I︠U︡ Khrennikov; V M Shelkovich
ISBN: 9780521148566 0521148561
OCLC Number: 456170368
Description: xvi, 351 pages : illustrations ; 23 cm.
Contents: P-adic numbers --
P-adic functions --
P-adic integration theory --
P-adic distributions --
Some results from p-adic p-adic L-theories --
The theory of associated and quasi associated homogeneous p-adic distribution --
P-adic Lizorkin spaces of the test functions and distributions --
The theory of P-adic wavelets --
Pseudo-differential operators on the p-adic Lizorkin spaces --
Pseudo-differential equation --
A p-adic =Schrodinger-type operator with interactions --
Distributional asymptotic and p-adic Tauberian theorems --
Asymptotics of the p-adic singular Fourier integrals --
Nonlinear theories of p-adic generalized functions --
The theory of associated and quasi associated homogeneous real distributions --
Two identities --
Proof of a theorem on weak asymptotic expansions --
One natural way to introduce a measure on Qp.
Series Title: London Mathematical Society lecture note series, 370.
Other Titles: P-adic distributions
Responsibility: S. Albeverio, A. Yu. Khrennikov, V.M. Shelkovich.

Abstract:

A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.  Read more...

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"... constitutes a relevant contribution to the study of wavelets and multiresolution analysis, as well as to the study of linear and semilinear evolution equations via wavelets, in a p-adic Read more...

 
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