Pseudodifferential Operators and Wavelets over Real and p-adic Fields

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.

List of contents

Pseudodifferential Operators Over the Real Field.- Wavelets Over the Real Field.- p-adic Mathematical Analysis.- Pseudodifferential Operators Over p-adic Fields.- Wavelets on p-adic Fields.

Summary

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.

Additional text

“The main objective of this book is to present the theory of pseudodifferential operators and wavelets over real as well as p-adic fields. The book is aimed at students and researchers interested in harmonic analysis over local fields.” (Ondrej Hutnik, Mathematical Reviews, July, 2019)

Report

"The main objective of this book is to present the theory of pseudodifferential operators and wavelets over real as well as p-adic fields. The book is aimed at students and researchers interested in harmonic analysis over local fields." (Ondrej Hutnik, Mathematical Reviews, July, 2019)

Product details

• Authors: Nguyen Minh Chuong
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2018
• EAN: 9783319774725
• ISBN: 978-3-31-977472-5
• No. of pages: 368
• Dimensions: 158 mm x 27 mm x 243 mm
• Weight: 722 g
• Illustrations: XI, 368 p. 4 illus.
• Series: Applied and Numerical Harmonic Analysis; Applied and Numerical Harmonic Analysis
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, B, Differentialrechnung und -gleichungen, Funktionalanalysis und Abwandlungen, Reelle Analysis, Real-Variablen, Mathematics and Statistics, Real Functions, Partial Differential Equations, Differential calculus & equations, Functions of real variables, Operational calculus, Integral transforms, Integral Transforms and Operational Calculus, Integral Transforms, Operational Calculus, Integral calculus & equations, Integral Equations, Functional analysis & transforms, Operator Theory, Fourier Analysis, Real analysis, real variables