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Pseudodifferential Operators and Wavelets over Real and p-adic Fields

  • Nguyen Minh Chuong
Book

Table of contents

  1. Front Matter
    Pages i-xi
  2. Nguyen Minh Chuong
    Pages 1-109
  3. Nguyen Minh Chuong
    Pages 111-155
  4. Nguyen Minh Chuong
    Pages 157-185
  5. Nguyen Minh Chuong
    Pages 187-329
  6. Nguyen Minh Chuong
    Pages 331-349
  7. Back Matter
    Pages 351-368

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Nguyen Minh Chuong
    • 1
  1. 1.Institute of MathematicsVietnam Academy of Science and TechnologyHanoiVietnam

Bibliographic information