Fundamentals of Fourier Analysis
This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables. It provides sufficient content for a two course sequence in Fourier Analysis or Harmonic Analysis at the graduate level. In true pedagogical spirit,...
Sábháilte in:
| Príomhchruthaitheoir: | |
|---|---|
| Údar corparáideach: | |
| Formáid: | Leictreonach Ríomhleabhar |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Cham :
Springer International Publishing : Imprint: Springer,
2024.
|
| Eagrán: | 1st ed. 2024. |
| Sraith: | Graduate Texts in Mathematics,
302 |
| Ábhair: | |
| Rochtain ar líne: | https://doi.org/10.1007/978-3-031-56500-7 |
| Clibeanna: |
Cuir clib leis
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-56500-7 | ||
| 003 | DE-He213 | ||
| 005 | 20260810154408.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240721s2024 sz | o |||| 0|eng d | ||
| 020 | |a 9783031565007 |9 978-3-031-56500-7 | ||
| 024 | 7 | |a 10.1007/978-3-031-56500-7 |2 doi | |
| 050 | 4 | |a QA403.5-404.5 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.2433 |2 23 |
| 100 | 1 | |a Grafakos, Loukas. |e author. |0 (orcid)0000-0001-7094-9201 |1 https://orcid.org/0000-0001-7094-9201 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Fundamentals of Fourier Analysis |h [electronic resource] / |c by Loukas Grafakos. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XVI, 407 p. 29 illus.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 302 | |
| 505 | 0 | |a 1 Introductory Material -- 2 Fourier Transforms, Tempered Distributions, Approximate Identities -- 3 Singular Integrals -- 4 Vector-Valued Singular Integrals and Littlewood–Paley Theory -- 5 Fractional Integrability or Differentiability and Multiplier Theorems -- 6 Bounded Mean Oscillation -- 7 Hardy Spaces -- 8 Weighted Inequalities -- Historical Notes -- Appendix A Orthogonal Matrices -- Appendix B Subharmonic Functions -- Appendix C Poisson Kernel on the Unit Strip -- Appendix D Density for Subadditive Operators -- Appendix E Transposes and Adjoints of Linear Operators -- Appendix F Faa di Bruno Formula -- Appendix G Besicovitch Covering Lemma -- Glossary -- References -- Index. | |
| 520 | |a This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables. It provides sufficient content for a two course sequence in Fourier Analysis or Harmonic Analysis at the graduate level. In true pedagogical spirit, each chapter presents a valuable selection of exercises with targeted hints that will assist the reader in the development of research skills. Proofs are presented with care and attention to detail. Examples are provided to enrich understanding and improve overall comprehension of the material. Carefully drawn illustrations build intuition in the proofs. Appendices contain background material for those that need to review key concepts. Compared with the author’s other GTM volumes (Classical Fourier Analysis and Modern Fourier Analysis), this text offers a more classroom-friendly approach as it contains shorter sections, more refined proofs, and a wider range of exercises. Topics include the Fourier Transform, Multipliers, Singular Integrals, Littlewood–Paley Theory, BMO, Hardy Spaces, and Weighted Estimates, and can be easily covered within two semesters. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Fourier analysis. | |
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 1 | 4 | |a Fourier Analysis. |
| 650 | 2 | 4 | |a Abstract Harmonic Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031564994 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031565014 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031565021 |
| 830 | 0 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 302 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-56500-7 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||