Graduate Texts in Contemporary Physics

Coherent States, Wavelets and Their Generalizations

Authors: Ali, Syed T., ANTOINE, Jean-Pierre, Gazeau, Jean-Perre

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  • ISBN 978-1-4612-1258-4
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About this Textbook

Nitya kaaler utshab taba Bishyer-i-dipaalika Aami shudhu tar-i-mateer pradeep Jaalao tahaar shikhaa 1 - Tagore Should authors feel compelled to justify the writing of yet another book? In an overpopulated world, should parents feel compelled to justify bringing forth yet another child? Perhaps not! But an act of creation is also an act of love, and a love story can always be happily shared. In writing this book, it has been our feeling that, in all of the wealth of material on coherent states and wavelets, there exists a lack of a discern­ able, unifying mathematical perspective. The use of wavelets in research and technology has witnessed explosive growth in recent years, while the use of coherent states in numerous areas of theoretical and experimental physics has been an established trend for decades. Yet it is not at all un­ common to find practitioners in either one of the two disciplines who are hardly aware of one discipline's links to the other. Currently, many books are on the market that treat the subject of wavelets from a wide range of perspectives and with windows on one or several areas of a large spectrum IThine is an eternal celebration '" A cosmic Festival of Lights! '" Therein I am a mere flicker of a wicker lamp, , . 0 kindle its flame (my Master!), vi Preface of possible applications.

Reviews

From the reviews:

"The subject of coherent states and/or wavelets (CS-W) is a hot topic for decades. … Personally I prefer the book under review to many other ones published before. … It is clearly written, mathematically sound and well illustrated … . Short but informative historical remarks in the text additionally guide through the literature. The index is useful too. … I recommend this book to everyone who wishes to learn CS-W, or already works in the area, or just needs a good reference source." (Vladimir V. Kisil, Zentralblatt MATH, Vol. 1064, 2005)


Table of contents (17 chapters)

  • Introduction

    Ali, Syed Twareque (et al.)

    Pages 1-12

  • Canonical Coherent States

    Ali, Syed Twareque (et al.)

    Pages 13-32

  • Positive Operator-Valued Measures and Frames

    Ali, Syed Twareque (et al.)

    Pages 33-45

  • Some Group Theory

    Ali, Syed Twareque (et al.)

    Pages 47-87

  • Hilbert Spaces with Reproducing Kernels and Coherent States

    Ali, Syed Twareque (et al.)

    Pages 89-108

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-1-4612-1258-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Coherent States, Wavelets and Their Generalizations
Authors
Series Title
Graduate Texts in Contemporary Physics
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1258-4
DOI
10.1007/978-1-4612-1258-4
Series ISSN
0938-037X
Edition Number
1
Number of Pages
XIII, 418
Topics