MARC details
| 000 -LEADER |
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| fixed length control field |
02811nam a2200313Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240808121523.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240709s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470409265 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IISER-BPR |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.2433 |
| Item number |
DOU |
| Edition number |
23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Douandikoetxea, Javier |
| 222 ## - KEY TITLE |
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| Key title |
Mathematics |
| 245 #0 - TITLE STATEMENT |
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| Title |
Fourier analysis |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Rhode Island: |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
2013. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xviii, 222cm. : |
| Other physical details |
pbk. ; |
| Dimensions |
23cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Graduate studies in Mathematics |
| Volume number/sequential designation |
Vol. 29 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderon and Zygmund. The text was born from a graduate course taught at the Universidad Autónoma de Madrid and incorporates lecture notes from a course taught by José Luis Rubio de Francia at the same university. Motivated by the study of Fourier series and integrals, classical topics are introduced, such as the Hardy-Littlewoods maximal function and the Hilbert transform. The remaining portions of the text are devoted to the study of singular integral operators and multipliers. Both classical aspects of the theory and more recent developments, such as weighted inequalities, H1, BMO spaces and the T1 theorem, are discussed. Chapter 1 presents a review of Fourier series and integrals, Chapters 2 and 3 introduce two operators that are basic to the field: the Hardy-Littlewoods maximal function and the Hilbert transform. Chapters 4 and 5 discuss singular integrals, including modern generalizations. Chapter 6 studies the relationship between H1, BMO and singular integrals, Chapter 7 presents the elementary theory of weighted norm inequalities. Chapter 8 discusses Littlewoods-Paley theory, which had developments that resulted in a number of applications. The final chapter concludes with an important result, the T1 theorem, which has been of crucial importance in the field. This volume has been updated and translated from the Spanish edition that was published in 1995. Minor changes have been made to the core of the book, however, the sections, Notes and Further Results have been considerably expanded and incorporate new topics, results and references. It is geared toward graduate students seeking a concise introduction to the main aspects of the classical theory of singular operators and multipliers. Prerequisites include basic knowledge in Lebesgue integrals and functional analysis.<br/><br/>Includes bibliographical references and index. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fouries Analysis |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Cruz-Uribe, David |
| Relator code |
Trans. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| 947 ## - LOCAL PROCESSING INFORMATION (OCLC) |
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| a |
7412.81 |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
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| Series part designator, SPT (RLIN) |
0.22 |
