Singular Integrals and Fourier Theory on Lipschitz Boundaries

Authors: Qian, Tao, Pengtao, Li

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  • States systemically the theory of singular integrals and Fourier multipliers
    on the Lipschitz graphs and surfaces
    Elaborates the basic framework, essential thoughts and main results
    Reveals the equivalence between the operator algebra of the singular integrals, Fourier multiplier
    Operators and the Cauchy-Dunford functional calculus of the Dirac operators

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eBook $109.00
price for USA in USD
  • ISBN 978-981-13-6500-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-981-13-6499-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $99.99
price for USA in USD
  • ISBN 978-981-13-6502-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential equations. The book elaborates on the basic framework, the Fourier methodology, and the main results in various contexts, especially addressing the following topics: singular integral operators with holomorphic kernels, fractional integral and differential operators with holomorphic kernels, holomorphic and monogenic Fourier multipliers, and Cauchy-Dunford functional calculi of the Dirac operators on Lipschitz curves and surfaces, and the high-dimensional Fueter mapping theorem with applications. The book offers a valuable resource for all graduate students and researchers interested in singular integrals and Fourier multipliers. 

Reviews

“The main audience for this book would be those interested in the importance of Fourier multipliers in Harmonic Analysis. … this book would serve as a nice reference on recent developments on singular integrals and Fourier multipliers on various Lipschitz surfaces.” (Eric Stachura, MAA Reviews, December 22, 2019)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-981-13-6500-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-981-13-6499-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $99.99
price for USA in USD
  • ISBN 978-981-13-6502-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Singular Integrals and Fourier Theory on Lipschitz Boundaries
Authors
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd. and Science Press
eBook ISBN
978-981-13-6500-3
DOI
10.1007/978-981-13-6500-3
Hardcover ISBN
978-981-13-6499-0
Softcover ISBN
978-981-13-6502-7
Edition Number
1
Number of Pages
XV, 306
Number of Illustrations
22 b/w illustrations, 6 illustrations in colour
Topics