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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: Albeverio, SergioContributor(s): Khrennikov, A. I︠U︡. (Andreĭ I︠U︡rʹevich), 1958- | Shelkovich, V. M. (Vladimir M.)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 resourceISBN: 9781139127776; 1139127772; 9781139107167; 113910716X; 9781139117111; 1139117114; 1107203732; 9781107203730; 1283295997; 9781283295994; 1139122851; 9781139122856; 9786613295996; 661329599X; 1139112759; 9781139112758Other title: P-adic distributionsSubject(s): p-adic numbers | p-adic analysis | Distribution (Probability theory) | Distributionstheorie | Pseudodifferentialgleichung | Wavelet | p-adische Analysis | MATHEMATICS -- Probability & Statistics -- General | Distribution (Probability theory) | p-adic analysis | p-adic numbersGenre/Form: Electronic books. Additional physical formats: Print version:: Theory of p-adic distributions.DDC classification: 519.2/4 LOC classification: QA241 | .A415 2010ebOther classification: MAT 428f | MAT 465f | SK 600 Online resources: Click here to access online
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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