Special functions and linear representations of Lie groups
著者
書誌事項
Special functions and linear representations of Lie groups
（Regional conference series in mathematics, no. 42）
Published for Conference Board of the Mathematical Sciences by the American Mathematical Society, c1980
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注記
"Expository lectures from the CBMS regional conference held at East Carolina University, March 5-9, 1979."--T.p. verso
Bibliography: p. 59
内容説明・目次
目次
- 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.
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