Skip to content
Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist
Fourier Analysis on Finite Groups and Applications

Fourier Analysis on Finite Groups and Applications

£45.99

Part of London Mathematical Society Student Texts

  • Date Published: June 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521457187

£ 45.99
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research. With applications in chemistry, error-correcting codes, data analysis, graph theory, number theory and probability, the book presents a concrete approach to abstract group theory through applied examples, pictures and computer experiments. In the first part, the author parallels the development of Fourier analysis on the real line and the circle, and then moves on to analogues of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices. The book concludes with an introduction to zeta functions on finite graphs via the trace formula.

    • An accessible introduction to the topic
    • Area has become popular in recent years, due to the wide range of applications
    • Author is recognised in the field
    Read more

    Reviews & endorsements

    'This book is likely to broader the mind of many a professional mathematician, and the list of over 400 references will be a valuable resource.' Peter Rowlinson, Bulletin of the London Mathematical Society

    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: June 1999
    • format: Paperback
    • isbn: 9780521457187
    • length: 456 pages
    • dimensions: 229 x 152 x 26 mm
    • weight: 0.67kg
    • contains: 64 b/w illus.
    • availability: Available
  • Table of Contents

    Introduction
    Cast of characters
    Part I:
    1. Congruences and the quotient ring of the integers mod n
    1.2 The discrete Fourier transform on the finite circle
    1.3 Graphs of Z/nZ, adjacency operators, eigenvalues
    1.4 Four questions about Cayley graphs
    1.5 Finite Euclidean graphs and three questions about their spectra
    1.6 Random walks on Cayley graphs
    1.7 Applications in geometry and analysis
    1.8 The quadratic reciprocity law
    1.9 The fast Fourier transform
    1.10 The DFT on finite Abelian groups - finite tori
    1.11 Error-correcting codes
    1.12 The Poisson sum formula on a finite Abelian group
    1.13 Some applications in chemistry and physics
    1.14 The uncertainty principle
    Part II. Introduction
    2.1 Fourier transform and representations of finite groups
    2.2 Induced representations
    2.3 The finite ax + b group
    2.4 Heisenberg group
    2.5 Finite symmetric spaces - finite upper half planes Hq
    2.6 Special functions on Hq - K-Bessel and spherical
    2.7 The general linear group GL(2, Fq)
    2.8. Selberg's trace formula and isospectral non-isomorphic graphs
    2.9 The trace formula on finite upper half planes
    2.10 The trace formula for a tree and Ihara's zeta function.

  • Author

    Audrey Terras, University of California, San Diego

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

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 ×

Find content that relates to you

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.
×