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Introduction to Harmonic Analysis by Ricardo A. Sáenz is a nonfiction available to read on EtoBox.

What is Introduction to Harmonic Analysis about?

Introduction to Harmonic Analysis Half-title Page Title Page Copyright Contents IAS/Park City Mathematics Institute Preface Chapter 1. Motivation and preliminaries 1.1. The heat equation in equilibrium 1.2. Holomorphic functions 1.3. Know thy calculus 1.4. The Dirichlet principle Exercises Chapter 2. Basic properties 2.1. The mean value property 2.2. The maximum principle 2.3. Poisson kernel and Poisson integrals in the ball 2.4. Isolated singularities Exercises Notes Chapter 3. Fourier series 3.1. Separation of variables 3.2. Fourier series 3.3. Abel means and Poisson integrals 3.4. Absolute convergence 3.5. Fejér’s theorem 3.6. Mean-square convergence 3.7. Convergence for continuous functions Exercises Notes Chapter 4. Poisson kernel in the half-space 4.1. The Poisson kernel in the half-space 4.2. Poisson integrals in the half-space 4.3. Boundary limits Exercises Notes Chapter 5. Measure theory in Euclidean space 5.1. The need for an integration theory 5.2. Outer measure in Euclidean space 5.3. Measurable sets and measure 5.4. Measurable functions Exercises Notes Chapter 6. Lebesgue integral and Lebesgue spaces 6.1. Integration of measurable functions 6.2. Fubini’s theorem 6.3. T

Who reads Introduction to Harmonic Analysis?

Author

Ricardo A. Sáenz

Publisher

American Mathematical Society

Published

2023

Language

EN

Category

nonfiction

Subjects

Mathematics, Analysis, Stem