Overview
- Authors:
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R. E. Edwards
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Institute of Advanced Studies, Australian National University, Canberra, Australia
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G. I. Gaudry
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Flinders University, Bedford Park, Australia
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Table of contents (10 chapters)
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- R. E. Edwards, G. I. Gaudry
Pages 1-3
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- R. E. Edwards, G. I. Gaudry
Pages 4-29
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- R. E. Edwards, G. I. Gaudry
Pages 30-49
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- R. E. Edwards, G. I. Gaudry
Pages 50-56
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- R. E. Edwards, G. I. Gaudry
Pages 57-75
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- R. E. Edwards, G. I. Gaudry
Pages 76-103
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- R. E. Edwards, G. I. Gaudry
Pages 104-133
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- R. E. Edwards, G. I. Gaudry
Pages 134-147
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- R. E. Edwards, G. I. Gaudry
Pages 148-165
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- R. E. Edwards, G. I. Gaudry
Pages 166-176
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Back Matter
Pages 177-214
About this book
This book is intended to be a detailed and carefully written account of various versions of the Littlewood-Paley theorem and of some of its applications, together with indications of its general significance in Fourier multiplier theory. We have striven to make the presentation self-contained and unified, and adapted primarily for use by graduate students and established mathematicians who wish to begin studies in these areas: it is certainly not intended for experts in the subject. It has been our experience, and the experience of many of our students and colleagues, that this is an area poorly served by existing books. Their accounts of the subject tend to be either ill-suited to the needs of a beginner, or fragmentary, or, in one or two instances, obscure. We hope that our book will go some way towards filling this gap in the literature. Our presentation of the Littlewood-Paley theorem proceeds along two main lines, the first relating to singular integrals on locally com pact groups, and the second to martingales. Both classical and modern versions of the theorem are dealt with, appropriate to the classical n groups IRn, ?L , Tn and to certain classes of disconnected groups. It is for the disconnected groups of Chapters 4 and 5 that we give two separate accounts of the Littlewood-Paley theorem: the first Fourier analytic, and the second probabilistic.
Authors and Affiliations
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Institute of Advanced Studies, Australian National University, Canberra, Australia
R. E. Edwards
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Flinders University, Bedford Park, Australia
G. I. Gaudry
