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Coherent States, Wavelets and Their Generalizations

  • Syed Twareque Ali
  • Jean-Pierre Antoine
  • Jean-Pierre Gazeau

Part of the Graduate Texts in Contemporary Physics book series (GTCP)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 1-12
  3. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 13-32
  4. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 33-45
  5. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 47-87
  6. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 89-108
  7. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 109-125
  8. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 127-145
  9. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 147-170
  10. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 171-197
  11. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 199-223
  12. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 225-256
  13. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 257-282
  14. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 283-305
  15. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 307-330
  16. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 331-351
  17. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 353-387
  18. Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau
    Pages 389-391
  19. Back Matter
    Pages 393-418

About this book

Introduction

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.

Keywords

Coherent states Lie groups group theory harmonic analysis quantum measurement problem quantum-classical transition relativity groups wavelets

Authors and affiliations

  • Syed Twareque Ali
    • 1
  • Jean-Pierre Antoine
    • 2
  • Jean-Pierre Gazeau
    • 3
  1. 1.Department of Mathematics and StatisticsConcordia University Loyola CampusMontréalCanada
  2. 2.Institut de Physique ThéoriqueUniversité Catholique de LouvainLouvain-la-NeuveBelgium
  3. 3.Laboratoire Physique Théoretique and Matière CondenséeUniversité de Paris 7 — Denis DiderotParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1258-4
  • Copyright Information Springer-Verlag New York, Inc. 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7065-2
  • Online ISBN 978-1-4612-1258-4
  • Series Print ISSN 0938-037X
  • Buy this book on publisher's site
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