Fourier Analysis (Graduate Studies in Mathematics)

4 avg rating
( 2 ratings by Goodreads )
 
9780821821725: Fourier Analysis (Graduate Studies in Mathematics)

Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderón 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-Littlewood 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, $H^1$, $BMO$ 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-Littlewood maximal function and the Hilbert transform. Chapters 4 and 5 discuss singular integrals, including modern generalizations. Chapter 6 studies the relationship between $H^1$, $BMO$, and singular integrals; Chapter 7 presents the elementary theory of weighted norm inequalities. Chapter 8 discusses Littlewood-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.

"synopsis" may belong to another edition of this title.

Review:

"This is a great introductory book to Fourier analysis on Euclidean spaces and can serve as a textbook in an introductory graduate course on the subject ... The chapters on the Hardy-Littlewood maximal function and the Hilbert transform are extremely well written ... this is a great book and is highly recommended as an introductory textbook to Fourier analysis. The students will have a lot to benefit from in the simple and quick presentation of the book." ---- Mathematical Reviews

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

International Edition
International Edition

1.

Duoandikoetxea, Javier
Published by American Mathematical Society
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Hardcover Quantity Available: 15
International Edition
Seller
WFL
(Holtsville, NY, U.S.A.)
Rating
[?]

Book Description American Mathematical Society. Hardcover. Book Condition: New. 0821821725 New ,International edition , softcover ,Same text as US edition , ISBN /Cover may be different , Ready to ship, 5-8 business days worldwide delivery. Bookseller Inventory # INFGYB2392

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 18.66
Convert Currency

Add to Basket

Shipping: US$ 4.40
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

2.

Duoandikoetxea, Javier
Published by American Mathematical Society
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Softcover Quantity Available: 5
International Edition
Seller
Sunshine Book Store
(Wilmington, DE, U.S.A.)
Rating
[?]

Book Description American Mathematical Society. Book Condition: New. 0821821725 This is an International Edition. Brand New, Paperback, Delivery within 6-14 business days, Similar Contents as U.S Edition, ISBN and Cover design may differ, printed in Black & White. Choose Expedited shipping for delivery within 3-8 business days. We do not ship to PO Box, APO , FPO Address. In some instances, subjects such as Management, Accounting, Finance may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code/CD is not provided with these editions , unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Bookseller Inventory # EU_9780821821725

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 26.62
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

3.

Javier Duoandikoetxea
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Paperback Quantity Available: 5
International Edition
Seller
Bookstore99
(Wilmington, DE, U.S.A.)
Rating
[?]

Book Description Paperback. Book Condition: New. This is an International Edition. Brand New Paperback- Same Title Author and Edition as listed. ISBN and Cover design differs. Similar Contents as U.S Edition. Delivery within 3-7 business days ACROSS THE GLOBE. We can ship to PO Box address in US. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" or "For sale in Asia only" or similar restrictions- printed only to discourage students from obtaining an affordable copy. US Court has asserted your right to buy and use International edition. Access code/CD may not provided with these editions. We may ship the books from multiple warehouses across the globe including Asia depending upon the availability of inventory. Printed in English. Customer satisfaction guaranteed. Choose expedited shipping for Express delivery. Tracking number provided for every order. Bookseller Inventory # RU_9780821821725

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 23.65
Convert Currency

Add to Basket

Shipping: US$ 2.99
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

4.

Javier Duoandikoetxe
Published by Orient Blackswan
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Paperback Quantity Available: 1
International Edition
Seller
Campustexxts
(Vicksburg, MI, U.S.A.)
Rating
[?]

Book Description Orient Blackswan. Paperback. Book Condition: New. International Edition. Very fast shipping. Receive your book in 2-7 business days if you checkout with expedited shipping. We take pride in our customer service, please contact us if you have any questions regarding the listing. Bookseller Inventory # in-us-9780821821725

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 23.31
Convert Currency

Add to Basket

Shipping: US$ 3.50
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

5.

AMS
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Quantity Available: 5
International Edition
Seller
firstbookstore
(New Delhi, India)
Rating
[?]

Book Description Book Condition: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-33546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 28.13
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

6.

JAVIER DUOANDIKOETXE
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Quantity Available: 5
International Edition
Seller
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-92254

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 28.41
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

7.

JAVIER DUOANDIKOETXE
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Quantity Available: 5
International Edition
Seller
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB92254

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 28.46
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

8.

AMS
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Softcover Quantity Available: 5
International Edition
Seller
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-33546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 30.65
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

9.

JAVIER DUOANDIKOETXE
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Softcover Quantity Available: 5
International Edition
Seller
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Book Condition: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-92254

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 30.67
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

10.

Javier Duoandikoetxe
Published by Orient Blackswan
ISBN 10: 0821821725 ISBN 13: 9780821821725
New Quantity Available: 5
International Edition
Seller
TEXTBOOKSZONE
(NEW DELHI, India)
Rating
[?]

Book Description Orient Blackswan. Book Condition: Brand New. This is Brand New, INTERNATIONAL Edition, Paperback, Different ISBN & same front cover, same contents, Excellent Quality with Shrink Wrap, English language, Perfect condition. Please contact us for any questions regarding this book.!!. Bookseller Inventory # TBZ-4365

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 32.16
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book