Skip to content
Register Sign in Wishlist

Analysis on Lie Groups
An Introduction

£80.99

Part of Cambridge Studies in Advanced Mathematics

  • Author: Jacques Faraut, Université de Paris VI (Pierre et Marie Curie)
  • Date Published: May 2008
  • availability: Available
  • format: Hardback
  • isbn: 9780521719308

£ 80.99
Hardback

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
  • The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author avoids unessential technical discussions and instead describes in detail many interesting examples, including formulae which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups.

    • Self-contained and elementary presentation of Lie group theory, concentrating on analysis on Lie groups
    • Numerous applications to classical harmonic analysis, useful for the study of the theory of random matrices
    • Many exercises and worked examples mean this is ideal for a graduate course on analysis on Lie groups
    Read more

    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: May 2008
    • format: Hardback
    • isbn: 9780521719308
    • length: 314 pages
    • dimensions: 235 x 155 x 20 mm
    • weight: 0.55kg
    • contains: 6 b/w illus. 95 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. The linear group
    2. The exponential map
    3. Linear Lie groups
    4. Lie algebras
    5. Haar measure
    6. Representations of compact groups
    7. The groups SU(2) and SO(3), Haar measure
    8. Analysis on the group SU(2)
    9. Analysis on the sphere
    10. Analysis on the spaces of symmetric and Hermitian matrices
    11. Irreducible representations of the unitary group
    12. Analysis on the unitary group
    Bibliography
    Index.

  • Author

    Jacques Faraut, Université de Paris VI (Pierre et Marie Curie)
    Jacques Faraut is Professeur Émérite in the Institut de Mathématiques de Jussieu at the Université Pierre et Marie Curie in Paris.

Related Books

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.
×