Happy Holidays—Our $30 Gift Card just for you, and books ship free! Shop now>>

Lecture Notes in Mathematics

Pseudodifferential Equations Over Non-Archimedean Spaces

Authors: Zúñiga-Galindo, W. A.

Free Preview
  • Offers a fast introduction to the theory of pseudodifferential equations over non-Archimedean fields and their connections with mathematical physics, probability and number theory       Provides a very general theory of parabolic-type equations and their Markov processes motivated by the models of hierarchic complex systems introduced by Avetisov et al. in around 2000    Combines methods of PDEs, probability and number theory

Buy this book

eBook $39.99
price for Mexico (gross)
  • ISBN 978-3-319-46738-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for Mexico
  • ISBN 978-3-319-46737-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation. Pseudodifferential equations for complex-valued functions on non-Archimedean local fields are central to contemporary harmonic analysis and mathematical physics and their theory reveals a deep connection with probability and number theory. The results of this book extend and complement the material presented by Vladimirov, Volovich and Zelenov (1994) and Kochubei (2001), which emphasize spectral theory and evolution equations in a single variable, and Albeverio, Khrennikov and Shelkovich (2010), which deals mainly with the theory and applications of p-adic wavelets.


Reviews

“The book is a valuable contribution to the literature on non-Archimedean analysis and mathematical physics. It will be useful for both specialists and students studying this subject.” (Anatoly N. Kochubei, Mathematical Reviews, October, 2017)

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $39.99
price for Mexico (gross)
  • ISBN 978-3-319-46738-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for Mexico
  • ISBN 978-3-319-46737-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Pseudodifferential Equations Over Non-Archimedean Spaces
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2174
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-46738-2
DOI
10.1007/978-3-319-46738-2
Softcover ISBN
978-3-319-46737-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 175
Number of Illustrations
1 b/w illustrations
Topics