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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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
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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 , 87
Online Access:
Physical Description:1 online resource (X, 296 p.)
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245 1 0 |a Fourier Meets Hilbert and Riesz :  |b An Introduction to the Corresponding Transforms /  |c René Erlin Castillo. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2022] 
264 4 |c ©2023 
300 |a 1 online resource (X, 296 p.) 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 87 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1 Fundamental concepts --   |t 2 Fourier series --   |t 3 Schwartz spaces S(ℝn) --   |t 4 Distribution functions --   |t 5 Three-fold approach to the Hilbert transform --   |t 6 Hilbert transform in L2(ℝ) --   |t 7 Embedding and strong Lp boundedness for the Hilbert transform --   |t 8 Riesz transform --   |t Appendix A --   |t Bibliography --   |t Index 
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520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) 
650 0 |a Fourier analysis. 
650 0 |a Harmonic analysis. 
650 0 |a Hilbert transform. 
650 0 |a Integral transforms. 
650 0 |a Transformations (Mathematics) 
650 0 |a Transformations (Mathematics). 
650 4 |a Fourier-Transformation. 
650 4 |a HILBERT-TRANSFORMATION. 
650 4 |a RIESZ-TRANSFORMATION. 
653 |a Fourier transform, Hilbert transform, Riesz trransform. 
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