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Theory of p-adic distributions : linear and nonlinear models /

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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Albeverio, Sergio
Otros Autores: Khrennikov, A. I͡U. (Andreĭ I͡Urʹevich), 1958-, Shelkovich, V. M. (Vladimir M.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2010.
Colección:London Mathematical Society lecture note series ; 370.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.