Pseudodifferential Operators and Wavelets Over Real and P-Adic Fields

ISBN-13: 9783319774725 / Angielski / Twarda / 2018 / 368 str.

Nguyen Minh Chuong

Recenzje

"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)

Spis treści

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.

Blurb

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.