Contents Preface to the Third Edition, vii Preface to the Second Edition, ix Preface to the First Edition, xi Preliminaries, 1 Part 1: Preliminaries, 1 Part 2: Algebraic Structures, 17 Part I---Basic Linear Algebra, 33 1 Vector Spaces, 35 Vector Spa
The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeat
Preface v Chapter 0. Introduction 1 x0.1. Linear partial di erential equations 1 Chapter 1. A rst look at Banach and Hilbert spaces 5 x1.1. Warm up: Metric and topological spaces 5 x1.2. The Banach space of continuous functions 14 x1.3. The geometry
This book mainly concerns with the Bochner-Riesz means of multiple
Fourier integral and series, which shall be simply termed the Bochner-Riesz
means for short. Bochner-Riesz means is an important branch of multiple
Fourier analysis initiated in the 1
