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Theory of p-adic distributions : linear and nonlinear models / S. Albeverio, A. Yu. Khrennikov, V.M. Shelkovich.

Хренников, А. Ю Шелкович, В. М. By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 370.Publication details: Cambridge, UK ; New York : Cambridge University Press, 2010.Description: 1 online resource (xvi, 351 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781139127776
  • 1139127772
  • 9781139107167
  • 113910716X
  • 9781139117111
  • 1139117114
  • 1107203732
  • 9781107203730
  • 1283295997
  • 9781283295994
  • 1139122851
  • 9781139122856
  • 9786613295996
  • 661329599X
  • 1139112759
  • 9781139112758
Other title:
  • P-adic distributions
Subject(s): Genre/Form: Additional physical formats: Print version:: Theory of p-adic distributions.DDC classification:
  • 519.2/4 22
LOC classification:
  • QA241 .A415 2010eb
Other classification:
  • MAT 428f
  • MAT 465f
  • SK 600
Online resources:
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.
Summary: A wide-ranging survey of new and important topics in p-adic analysis for researchers and graduate students.
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Includes bibliographical references (pages 333-347) and index.

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

Print version record.

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.

English.

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