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Details zum Buch
Modern Fourier Analysis (Graduate Texts in Mathematics Book 250)

The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier Analysis, 2nd Edition, and Modern Fourier Analysis, 2nd Edition. These volumes are mainly addressed to graduate students who wish to study Fourier analysis. This second volume is intended to serve as a text for a seco- semester course in the subject. It is designed to be a continuation of the rst v- ume. Chapters 1–5 in the rst volume contain Lebesgue spaces, Lorentz spaces and interpolation, maximal functions, Fourier transforms and distributions, an introd- tion to Fourier analysis on the n-torus, singular integrals of convolution type, and Littlewood–Paley theory. Armed with the knowledgeof this material, in this volume,the reader encounters more advanced topics in Fourier analysis whose development has led to important theorems. These theorems are proved in great detail and their proofs are organized to present the ow of ideas. The exercises at the end of each section enrich the material of the corresponding section and provide an opportunity to develop ad- tional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research but also to suggest directions for further investigation. The auxiliary results referred to the appendix can be located in the rst

Detailangaben zum Buch - Modern Fourier Analysis (Graduate Texts in Mathematics Book 250)


EAN (ISBN-13): 9780387094342
ISBN (ISBN-10): 0387094342
Gebundene Ausgabe
Erscheinungsjahr: 2009
Herausgeber: Springer
15 Seiten
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-10-27T08:47:46+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-12-25T17:22:38+01:00 (Berlin)
ISBN/EAN: 0387094342

ISBN - alternative Schreibweisen:
0-387-09434-2, 978-0-387-09434-2
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: ross, hewitt edwin, graf, grafakos
Titel des Buches: group representation theory, abstract harmonic analysis, grundlehren mathematischen wissenschaften, structure topological groups integration theory group representations, modern fourier analysis, have never been modern, analysis und integration


Daten vom Verlag:

Autor/in: Loukas Grafakos
Titel: Graduate Texts in Mathematics; Modern Fourier Analysis
Verlag: Springer; Springer US
507 Seiten
Erscheinungsjahr: 2009-04-28
New York; NY; US
Sprache: Englisch
51,40 € (DE)

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Singular integral; Smooth function; bounded mean oscillation; calculus; convolution; differential equation; functional analysis; measure; B; Analysis; Fourier Analysis; Abstract Harmonic Analysis; Functional Analysis; Mathematics and Statistics; Funktionalanalysis und Abwandlungen; Komplexe Analysis, komplexe Variablen, Funktionentheorie; BC

Smoothness and Function Spaces.- and Carleson Measures.- Singular Integrals of Nonconvolution Type.- Weighted Inequalities.- Boundedness and Convergence of Fourier Integrals.- Time Frequency Analysis and the Carleson#x2013;Hunt Theorem.

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9781493950782 Modern Fourier Analysis (Graduate Texts in Mathematics, Band 250) (Grafakos, Loukas)


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