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Analysis on Lie groups = an introduc...

Faraut, Jacques, (1940-)

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Analysis on Lie groups = an introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analysis on Lie groups/ Jacques Faraut.
其他題名:	an introduction /
作者:	Faraut, Jacques,
出版者:	Cambridge :Cambridge University Press, : 2008.,
面頁冊數:	x, 302 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	The linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group.
標題:	Lie groups. -
電子資源:	https://doi.org/10.1017/CBO9780511755170
ISBN:	9780511755170

Analysis on Lie groups = an introduction /
Faraut, Jacques,1940-

Analysis on Lie groupsan introduction /[electronic resource] :Jacques Faraut. - Cambridge :Cambridge University Press,2008. - x, 302 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;110. - Cambridge studies in advanced mathematics ;110..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group.

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.

ISBN: 9780511755170Subjects--Topical Terms:

526114
Lie groups.

LC Class. No.: QA387 / .F37 2008

Dewey Class. No.: 512.482

Analysis on Lie groups = an introduction /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a The linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group.
520 $a 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.
650 0 $a Lie groups. $3 526114
650 0 $a Lie algebras. $3 526115
830 0 $a Cambridge studies in advanced mathematics ; $v 110. $3 3470489
856 4 0 $u https://doi.org/10.1017/CBO9780511755170