Classical Fourier Analysis (Graduate Texts in Mathematics)

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9781441918550: Classical Fourier Analysis (Graduate Texts in Mathematics)

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

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From the Back Cover:

The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edition contains a new chapter on time-frequency analysis and the Carleson-Hunt theorem. The first volume contains the classical topics such as Interpolation, Fourier Series, the Fourier Transform, Maximal Functions, Singular Integrals, and Littlewood-Paley Theory. The second volume contains more recent topics such as Function Spaces, Atomic Decompositions, Singular Integrals of Nonconvolution Type, and Weighted Inequalities.

These volumes are mainly addressed to graduate students in mathematics and are designed for a two-course sequence on the subject with additional material included for reference. The prerequisites for the first volume are satisfactory completion of courses in real and complex variables. The second volume assumes material from the first. This book is intended to present the selected topics in 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.

About the first edition:

"Grafakos's book is very user-friendly with numerous examples illustrating the definitions and ideas... 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."

- Kenneth Ross, MAA Online

Language Notes:

Text: German

"Sobre este título" puede pertenecer a otra edición de este libro.

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1.

GRAFAKOS, LOUKAS
ISBN 10: 1441918558 ISBN 13: 9781441918550
Nuevos Cantidad: 2
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Descripción Estado de conservación: New. This book is Brand NEW Soft cover International edition . ISBN number may be different but contents and cover photo identical to the US edition with Black & White printing. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Book is in English language. Nº de ref. de la librería Star-29072017-3857

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Loukas Grafakos
Editorial: Springer New York 2010-11-19, New York, NY (2010)
ISBN 10: 1441918558 ISBN 13: 9781441918550
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Descripción Springer New York 2010-11-19, New York, NY, 2010. paperback. Estado de conservación: New. Nº de ref. de la librería 9781441918550

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Loukas Grafakos
Editorial: Springer-Verlag New York Inc., United States (2011)
ISBN 10: 1441918558 ISBN 13: 9781441918550
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Descripción Springer-Verlag New York Inc., United States, 2011. Paperback. Estado de conservación: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 Softcover reprint of hardcover 2nd ed. 2008. Nº de ref. de la librería LIE9781441918550

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Loukas Grafakos
Editorial: Springer-Verlag New York Inc., United States (2011)
ISBN 10: 1441918558 ISBN 13: 9781441918550
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Descripción Springer-Verlag New York Inc., United States, 2011. Paperback. Estado de conservación: New. 2nd ed. Softcover of orig. ed. 2008. Language: English . Brand New Book ***** Print on Demand *****.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. Nº de ref. de la librería AAV9781441918550

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5.

Loukas Grafakos
Editorial: Springer-Verlag New York Inc., United States (2011)
ISBN 10: 1441918558 ISBN 13: 9781441918550
Nuevos Paperback Cantidad: 10
Impresión bajo demanda
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The Book Depository US
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Descripción Springer-Verlag New York Inc., United States, 2011. Paperback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****. 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 Softcover reprint of hardcover 2nd ed. 2008. Nº de ref. de la librería AAV9781441918550

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Loukas Grafakos
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ISBN 10: 1441918558 ISBN 13: 9781441918550
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Descripción Springer-Verlag New York Inc., 2010. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9781441918550

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Grafakos, Loukas
Editorial: Springer (2016)
ISBN 10: 1441918558 ISBN 13: 9781441918550
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9781441918550_lsuk

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Grafakos, Loukas
ISBN 10: 1441918558 ISBN 13: 9781441918550
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Descripción Estado de conservación: New. Publisher/Verlag: Springer, Berlin | 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. | Preface.- Lp Spaces and Interpolation.- Maximal Functions, Fourier Transform, and Distributions.- Fourier Analysis on the Torus.- Singular Integrals of Convolution Type.- Littlewood-Paley Theory and Multipliers.- Gamma and Beta Functions.- Bessel Functions.- Rademacher Functions.- Spherical Coordinates.- Some Trigonometric Identities and Inequalities.- Summation by Parts.- Basic Functional Analysis.- The Minimax Lemma.- The Schur Lemma.- The Whitney Decomposition of Open Sets in Rn.- Smoothness and Vanishing Moments.- Glossary.- References.- Index. | Format: Paperback | Language/Sprache: english | 735 gr | 492 pp. Nº de ref. de la librería K9781441918550

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LOUKAS GRAFAKOS
Editorial: Springer (2010)
ISBN 10: 1441918558 ISBN 13: 9781441918550
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Descripción Springer, 2010. Paperback. Estado de conservación: NEW. 9781441918550 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0294728

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Loukas Grafakos
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Descripción Springer-Verlag New York Inc., 2010. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9781441918550

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