Special Functions and Linear Representations of Lie Groups (042) - Couverture souple

American Mathematical Society

 
9780821816929: Special Functions and Linear Representations of Lie Groups (042)

Synopsis

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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