Fourier Meets Hilbert and Riesz : : An Introduction to the Corresponding Transforms / / René Erlin Castillo.
This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are det...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2023 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
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| Physical Description: | 1 online resource (X, 296 p.) |
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9783110784091 |
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Castillo, René Erlin, author. aut http://id.loc.gov/vocabulary/relators/aut Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / René Erlin Castillo. Berlin ; Boston : De Gruyter, [2022] ©2023 1 online resource (X, 296 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 87 Frontmatter -- Preface -- Contents -- 1 Fundamental concepts -- 2 Fourier series -- 3 Schwartz spaces S(ℝn) -- 4 Distribution functions -- 5 Three-fold approach to the Hilbert transform -- 6 Hilbert transform in L2(ℝ) -- 7 Embedding and strong Lp boundedness for the Hilbert transform -- 8 Riesz transform -- Appendix A -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are detailed examples and exercises. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) Fourier analysis. Harmonic analysis. Hilbert transform. Integral transforms. Transformations (Mathematics) Transformations (Mathematics). Fourier-Transformation. HILBERT-TRANSFORMATION. RIESZ-TRANSFORMATION. Fourier transform, Hilbert transform, Riesz trransform. Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English 9783110993868 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 9783110770445 ZDB-23-DMA EPUB 9783110784121 print 9783110784053 https://doi.org/10.1515/9783110784091 https://www.degruyter.com/isbn/9783110784091 Cover https://www.degruyter.com/document/cover/isbn/9783110784091/original |
| language |
English |
| format |
eBook |
| author |
Castillo, René Erlin, Castillo, René Erlin, |
| spellingShingle |
Castillo, René Erlin, Castillo, René Erlin, Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / De Gruyter Studies in Mathematics , Frontmatter -- Preface -- Contents -- 1 Fundamental concepts -- 2 Fourier series -- 3 Schwartz spaces S(ℝn) -- 4 Distribution functions -- 5 Three-fold approach to the Hilbert transform -- 6 Hilbert transform in L2(ℝ) -- 7 Embedding and strong Lp boundedness for the Hilbert transform -- 8 Riesz transform -- Appendix A -- Bibliography -- Index |
| author_facet |
Castillo, René Erlin, Castillo, René Erlin, |
| author_variant |
r e c re rec r e c re rec |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Castillo, René Erlin, |
| title |
Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / |
| title_sub |
An Introduction to the Corresponding Transforms / |
| title_full |
Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / René Erlin Castillo. |
| title_fullStr |
Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / René Erlin Castillo. |
| title_full_unstemmed |
Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / René Erlin Castillo. |
| title_auth |
Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / |
| title_alt |
Frontmatter -- Preface -- Contents -- 1 Fundamental concepts -- 2 Fourier series -- 3 Schwartz spaces S(ℝn) -- 4 Distribution functions -- 5 Three-fold approach to the Hilbert transform -- 6 Hilbert transform in L2(ℝ) -- 7 Embedding and strong Lp boundedness for the Hilbert transform -- 8 Riesz transform -- Appendix A -- Bibliography -- Index |
| title_new |
Fourier Meets Hilbert and Riesz : |
| title_sort |
fourier meets hilbert and riesz : an introduction to the corresponding transforms / |
| series |
De Gruyter Studies in Mathematics , |
| series2 |
De Gruyter Studies in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2022 |
| physical |
1 online resource (X, 296 p.) Issued also in print. |
| contents |
Frontmatter -- Preface -- Contents -- 1 Fundamental concepts -- 2 Fourier series -- 3 Schwartz spaces S(ℝn) -- 4 Distribution functions -- 5 Three-fold approach to the Hilbert transform -- 6 Hilbert transform in L2(ℝ) -- 7 Embedding and strong Lp boundedness for the Hilbert transform -- 8 Riesz transform -- Appendix A -- Bibliography -- Index |
| isbn |
9783110784091 9783111175782 9783110993899 9783110994810 9783110993868 9783110770445 9783110784121 9783110784053 |
| issn |
0179-0986 ; |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA601 |
| callnumber-sort |
QA 3601 C37 42022. |
| url |
https://doi.org/10.1515/9783110784091 https://www.degruyter.com/isbn/9783110784091 https://www.degruyter.com/document/cover/isbn/9783110784091/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
516 - Geometry |
| dewey-full |
516.1 |
| dewey-sort |
3516.1 |
| dewey-raw |
516.1 |
| dewey-search |
516.1 |
| doi_str_mv |
10.1515/9783110784091 |
| oclc_num |
1334344273 |
| work_keys_str_mv |
AT castilloreneerlin fouriermeetshilbertandrieszanintroductiontothecorrespondingtransforms |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)617671 (OCoLC)1334344273 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 |
| is_hierarchy_title |
Fourier Meets Hilbert and Riesz : An Introduction to the Corresponding Transforms / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
| _version_ |
1806144594659770368 |
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