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Advanced Courses in Mathematics - CRM Barcelona

Analysis on h-Harmonics and Dunkl Transforms

Authors: Dai, Feng, Xu, Yuan

Editors: Tikhonov, Sergey (Ed.)

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  • Focusses on the analysis side of h-harmonics and Dunkl transforms
  • Written in a concise yet informative style
  • No previous knowledge on reflection groups required
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eBook 20,22 €
price for Spain (gross)
  • ISBN 978-3-0348-0887-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
price for Spain (gross)
  • ISBN 978-3-0348-0886-6
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

​This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation theory, harmonic analysis, and functional analysis will benefit from this book.

Reviews

“This well-written book gives a readable introduction to Dunkl harmonics and Dunkl transforms … . the authors have collected a small compendium of results which will appeal to mathematicians interested in Dunkl analysis. … The authors have done a commendable job in making this little book self-contained and quite readable. It will certainly serve as a starting point for graduate students and researchers interested in learning Dunkl harmonics and Dunkl transforms.” (Sundaram Thangavelu, Mathematical Reviews, December, 2015)


Table of contents (7 chapters)

Table of contents (7 chapters)
  • Introduction: Spherical Harmonics and Fourier Transform

    Pages 1-6

    Dai, Feng (et al.)

  • Dunkl Operators Associated with Reflection Groups

    Pages 7-14

    Dai, Feng (et al.)

  • h-Harmonics and Analysis on the Sphere

    Pages 15-34

    Dai, Feng (et al.)

  • Littlewood–Paley Theory and the Multiplier Theorem

    Pages 35-50

    Dai, Feng (et al.)

  • Sharp Jackson and Sharp Marchaud Inequalities

    Pages 51-63

    Dai, Feng (et al.)

Buy this book

eBook 20,22 €
price for Spain (gross)
  • ISBN 978-3-0348-0887-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
price for Spain (gross)
  • ISBN 978-3-0348-0886-6
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Analysis on h-Harmonics and Dunkl Transforms
Authors
Editors
  • Sergey Tikhonov
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0887-3
DOI
10.1007/978-3-0348-0887-3
Softcover ISBN
978-3-0348-0886-6
Series ISSN
2297-0304
Edition Number
1
Number of Pages
VIII, 118
Topics