Skip to content
Register Sign in Wishlist

Theory of p-adic Distributions
Linear and Nonlinear Models

$65.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: April 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521148566

$ 65.99 (C)
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. Its extended introduction and self-contained presentation also make it accessible to graduate students approaching the theory for the first time.

    • Contains introductions to the theory of p-adic numbers, p-adic functions and p-adic distributions suitable for the non-specialist
    • Contains many new results recently published in leading journals
    • Self-contained presentation makes the book suitable for use in graduate courses
    Read more

    Reviews & endorsements

    "... constitutes a relevant contribution to the study of wavelets and multiresolution analysis, as well as to the study of linear and semilinear evolution equations via wavelets, in a p-adic setting." W.A. Zuniga Galindo, Mathematical Reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: April 2010
    • format: Paperback
    • isbn: 9780521148566
    • length: 368 pages
    • dimensions: 229 x 152 x 21 mm
    • weight: 0.54kg
    • availability: Available
  • Table of Contents

    Preface
    1. p-Adic numbers
    2. p-Adic functions
    3. p-Adic integration theory
    4. p-Adic distributions
    5. Some results from p-adic L- and L- theories
    6. The theory of associated and quasi associated homogeneous p-adic distributions
    7. p-Adic Lizorkin spaces of test functions and distributions
    8. The theory of p-adic wavelets
    9. Pseudo-differential operators on the p-adic Lizorkin spaces
    10. Pseudo-differential equations
    11. p-Adic Schrödinger-type operator with point interactions
    12. Distributional asymptotics and p-adic Tauberian theorems
    13. Asymptotics of the p-adic singular Fourier integrals
    14. Nonlinear theories of p-adic generalized functions
    A. The theory of associated and quasi associated homogeneous real distributions
    B. Two identities
    C. Proof of a theorem on weak asymptotic expansions
    D. One 'natural' way to introduce a measure on Q
    References
    Index.

  • Authors

    S. Albeverio, Rheinische Friedrich-Wilhelms-Universität Bonn
    S. Albeverio is Professor in the Faculty of Mathematics and Natural Sciences at the University of Bonn, Germany.

    A. Yu Khrennikov, Växjö Universitet, Sweden
    A. Yu. Khrennikov is Professor of Applied Mathematics and Director of the International Center for Mathematical Modeling in Physics, Engineering and Cognitive Sciences at Växjö University, Sweden.

    V. M. Shelkovich, St Petersburg State University
    V. M. Shelkovich is Professor in the Mathematical Department at the St Petersburg State University of Architecture and Civil Engineering, Russia.

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×