Buy Suprematism in Harmonic Analysis by Antonio Córdoba
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Complex analysis, complex variables > Suprematism in Harmonic Analysis: (356 Progress in Mathematics)
Suprematism in Harmonic Analysis: (356 Progress in Mathematics)

Suprematism in Harmonic Analysis: (356 Progress in Mathematics)


     0     
5
4
3
2
1



International Edition


X
About the Book

This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems. Several connections to number theory, crystallography or atomic theory are also surveyed. The term “suprematism” refers to a certain geometric point of view underlying proofs and arguments. The opening of the book is dedicated to a few results, with short statements and proofs, that could be called “mathematical haikus”. Then, in the first part of the book, singular integrals beyond the classical Calderón-Zygmund theory, such as Vitali-type covering lemmas and estimates for the corresponding maximal operators, are explored. The exponential overlapping of parallelepipeds, the strong maximal function, and Zygmund's conjecture about monotonic bases are also covered. The core of this part is devoted to the Kakeya maximal function and its relation to the spherical summation of Fourier series and integrals. The two-dimensional case is well understood, but the case of higher dimensions still presents many open problems and conjectures. The chapters in the second part of the book treat questions at the interface of harmonic analysis and number theory, including applications of the Poisson summation formula to crystallography and arithmetic, estimates of the Minkowski dimension of Riemann graphs, random lattice point problems, and the role of Weyl sums in atomic energy oscillations. With a focus on rigorous research insights for graduate students and researchers in mathematics, this book provides a comprehensive journey through the hidden landscapes of harmonic analysis.

Table of Contents:
Preface.- Notions and terminology.- 1. Seven mathematical haikus.- 2. All those rectangles.- 3. As a needle turn: Besicovitch or Kakeya sets.- 4. Translation invariant operators.- 5. The multiplier problem for the ball.- 6. The ball multiplier on mixed norm spaces.- 7. The Poisson summation formula.- 8. Encounters at the interface with number theory.- 9. Weyl sums and atomic energy oscillations.- Bibliography.

About the Author :
Antonio Córdoba obtained his doctoral degree from the University of Chicago in 1974 under the guidance of mathematician and Fields Medalist Charles Fefferman. Currently holding the position of Mathematics Analysis Professor at the Universidad Autónoma de Madrid, he has served as the director of the Institute of Mathematical Sciences (ICMAT-CSIC) since 2016. During his tenure at Princeton University, he published a paper in the "Annals of Mathematics" that solved the Zygmund conjecture, a problem that had persisted for over 50 years, marking one of his significant contributions to mathematics. His research work spans over foundational contributions in areas such as Fourier analysis, mathematical physics, differential equations, fluid dynamics and number theory, with publications in top international journals including the "Annals of Mathematics", "Inventiones Mathematicae", and "Communications on Pure and Applied Mathematics". He founded the "Ibero-American Journal of Mathematics". In 2011, he was awarded the "Julio Rey Pastor" National Research Prize in Mathematics and Information and Communication Technologies. A member of the Royal Spanish Mathematical Society, he has served as the chairman of its scientific committee, is an honorary member of the Murcia Region Academy of Sciences, a member of the Free Honorary University, and an honorary doctor of the University of Murcia. He serves as a technical advisor on scientific committees, participates in the advisory committee of the President's Higher Council for Scientific Research, and works for national physics and mathematics evaluation agencies.


Best Sellers


Product Details
  • ISBN-13: 9783031737367
  • Publisher: Birkhauser Verlag AG
  • Publisher Imprint: Birkhauser Verlag AG
  • Height: 235 mm
  • No of Pages: 259
  • Returnable: Y
  • Width: 155 mm
  • ISBN-10: 3031737369
  • Publisher Date: 09 Nov 2024
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Series Title: 356 Progress in Mathematics


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Suprematism in Harmonic Analysis: (356 Progress in Mathematics)
Birkhauser Verlag AG -
Suprematism in Harmonic Analysis: (356 Progress in Mathematics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Suprematism in Harmonic Analysis: (356 Progress in Mathematics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!