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Special Functions and Linear Representations of Lie Groups PDF

65 Pages·1980·7.923 MB·English
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by Jean Dieudonne| 1980| 65 pages| 7.923| English

About Special Functions and Linear Representations of Lie Groups

Introduction Representations of $\mathbf {SU}(2)$ The general theory of linear representations of compact groups Lie theory of representations of compact connected Lie groups Induced representations of compact groups Spherical functions on compact groups Examples; spherical harmonics The general theory of spherical functions Fourier and Plancherel transforms Extension of the Plancherel transform The subtleties of harmonic analysis Differential properties of spherical functions on Lie groups Spherical functions on semisimple Lie groups More on $\mathbf {SL}(2, \mathbf R)$ Automorphic functions Groups of isometries and Bessel functions Other special functions References

Detailed Information

Author:Jean Dieudonne
Publication Year:1980
ISBN:9780821816929
Pages:65
Language:English
File Size:7.923
Format:PDF
Price:FREE
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