J. I. Richards

Publications26
h-index5
Citations983
Highly Influential Citations88
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Computability in analysis and physics
TLDR
This book represents the first treatment of computable analysis at the graduate level within the tradition of classical mathematical reasoning and provides an introduction to research in this area. Expand
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An Introduction to Computable Analysis
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Theory of Distributions: A Non-Technical Introduction
Preface 1. Introduction 2. The elements of distribution theory: Section 1. Basic Definitions and Facts Section 2. Convolutions 3. Examples of distributions 4. Fourier transforms 5. Tempered… Expand
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Computability in Unitary Representations of Compact Groups
This paper deals with the computability of unitary representations of compact groups. An algorithm is given to effectively decompose a unitary representation into its irreducible parts. Difficulties… Expand
  • 5
Prerequisites from Logic and Analysis
Chapter 5: Proof of the Second Main Theorem
Theory of Distributions: Tempered distributions
The Structure Theorem
The main idea: split a group into 2 smaller pieces of lower dimensions for induction. Definition 1. A Z-module (or Zmod) is an abelian group. We use this terminology to remind us of linear algebra… Expand
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Partitions of unity
Proof of Theorems A and B from Chapter 7