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Pseudodifferential Operators and Wavelets over Real and p-adic Fields

Nguyen Minh Chuong

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. 

Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic field.

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Schlagwörter

p-adic mathematical analysis, wavelet integral operators, wavelets and Hardy spaces, pseudodifferential operators of principal type, wavelets on p-adic Fields, semilinear degenerate pseudodifferential BVPs, partial differential equations, pseudodifferential operators of variable order, non-classical pseudodifferential BVP, pseudodierential operators over the real field, wavelets over the real field, wavelet solutions to Cauchy problems, harmonic Analysis over local fields