Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Papers in Honour of Takeyuki Hida’s 70th Birthday

  • Editors
  • Luigi Accardi
  • Hui-Hsiung Kuo
  • Nobuaki Obata
  • Kimiaki Saito
  • Si Si
  • Ludwig Streit

Table of contents

  1. Front Matter
    Pages i-1
  2. Luigi Accardi, Yun Gang Lu, Igor V. Volovich
    Pages 3-25
  3. Sergio Albeverio, Alexei Daletskii, Yuri Kondratiev, Michael Röckner
    Pages 27-40
  4. Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo
    Pages 79-87
  5. Yuji Hibino, Masuyuki Hitsuda, Hiroshi Muraoka
    Pages 137-139
  6. Helge Holden, Bernt Øksendal
    Pages 141-150
  7. Zhiyuan Huang, Caishi Wang, Xiangjun Wang
    Pages 151-164
  8. Friedrich Jondral
    Pages 175-184
  9. H. -H. Kuo, Y. -J. Lee, C. -Y. Shih
    Pages 203-218
  10. Yuh-Jia Lee, Hsin-Hung Shih
    Pages 219-231
  11. Zhi-Ming Ma, Michael Röckner, Wei Sun
    Pages 233-243
  12. Pranab K. Mandal, V. Mandrekar
    Pages 245-252
  13. Mikio Namiki
    Pages 275-282
  14. Masanori Ohya
    Pages 293-306
  15. K. Okamoto, M. Tsukamoto, K. Yokota
    Pages 323-332
  16. Jürgen Potthoff
    Pages 333-347
  17. Si Si, Win Win Htay
    Pages 433-439

About this book


Recent Developments in Infinite-Dimensional Analysis and Quantum Probability is dedicated to Professor Takeyuki Hida on the occasion of his 70th birthday. The book is more than a collection of articles. In fact, in it the reader will find a consistent editorial work, devoted to attempting to obtain a unitary picture from the different contributions and to give a comprehensive account of important recent developments in contemporary white noise analysis and some of its applications. For this reason, not only the latest results, but also motivations, explanations and connections with previous work have been included.
The wealth of applications, from number theory to signal processing, from optimal filtering to information theory, from the statistics of stationary flows to quantum cable equations, show the power of white noise analysis as a tool. Beyond these, the authors emphasize its connections with practically all branches of contemporary probability, including stochastic geometry, the structure theory of stationary Gaussian processes, Neumann boundary value problems, and large deviations.


Finite Manifold Random variable Variable calculus equation function geometry statistics theorem

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