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