Synopsis
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables.
While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. Asa result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...).
From a review of the first edition:
“Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. There are historical notes at the end of each chapter, and examples illustrate the definitions and ideas.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Classical Fourier Analysis (Graduate Texts in Mathematics, 249)
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Classical Fourier Analysis
Edité par
Springer New York Nov 2010, 2010
ISBN 10 : 1441918558
ISBN 13 : 9781441918550
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables.While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc.), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc.).From a review of the first edition:'Grafakos's book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.' - Ken Ross, MAA Online 508 pp. Englisch. N° de réf. du vendeur 9781441918550
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Classical Fourier Analysis
Edité par
Springer-Verlag New York Inc., 2010
ISBN 10 : 1441918558
ISBN 13 : 9781441918550
Neuf
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Classical Fourier Analysis
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Classical Fourier Analysis
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Classical Fourier Analysis
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Classical Fourier Analysis
Edité par
Springer New York, 2010
ISBN 10 : 1441918558
ISBN 13 : 9781441918550
Neuf
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Historical notes at the end of each chapterNumerous exercises for each chapterUser-friendly exposition with examples illustrating the definitions and ideasThe primary goal of this text is to present the theoretical foundation of . N° de réf. du vendeur 4172427
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Paperback. Etat : Brand New. 2nd edition. 508 pages. 9.00x6.00x1.15 inches. In Stock. N° de réf. du vendeur x-1441918558
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