Harmonic analysis

Author

Simon, Barry, 1946-

Title

Harmonic analysis / [electronic resource] Barry Simon.

ISBN

9781470427610 (online)

Publication

Providence, Rhode Island : American Mathematical Society, 2015.

Physical Description

1 online resource.

Local Notes

Access is available to the Yale community.

Notes

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015

Description based on print version record.

Access and use

Access restricted by licensing agreement.

Variant and related titles

American mathematical society.

Simon.

Other formats

Print version: Simon, Barry, 1946- Harmonic analysis /

Format

Books / Online

Language

English

Added to Catalog

February 11, 2020

Series

Simon, v. 3

Bibliography

Includes bibliographical references and indexes.

Contents

Chapter 1. Preliminaries Chapter 2. Pointwise convergence almost everywhere Chapter 3. Harmonic and subharmonic functions Chapter 4. Bonus chapter: Phase space analysis Chapter 5. $H^p$ spaces and boundary values of analytic functions on the unit disk Chapter 6. Bonus chapter: More inequalities

Subjects

Mathematical analysis > Textbooks.

Harmonic analysis > Textbooks.

Real functions -- Instructional exposition (textbooks, tutorial papers, etc.).

Potential theory -- Instructional exposition (textbooks, tutorial papers, etc.).

Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.).

Functions of a complex variable -- Spaces and algebras of analytic functions -- Hardy spaces.

Functions of a complex variable -- Spaces and algebras of analytic functions -- BMO-spaces.

Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Wavelets and other special systems.

Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).

Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems.

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