Special Functions and the Theory of Group RepresentationsAmerican Mathematical Soc., 1978 - 613 Seiten |
Inhalt
| 1 | |
| 7 | |
THE ADDITIVE GROUP OF REAL NUMBERS AND THE EXPONENTIAL FUNCTION FOURIER SERIES AND INTEGRALS | 70 |
THE GROUP OF SECOND ORDER UNITARY MATRICES AND THE POLYNOMIALS OF LEGENDREAND JACOBI | 97 |
REPRESENTATIONS OF THE GROUP OF MOTIONS OF THE PLANE AND BESSEL FUNCTIONS | 195 |
REPRESENTATIONS OF THE GROUP OF MOTIONS OF THE PSEUDOEUCLIDEAN PLANE AND THE FUNCTIONS OF BESSEL AND MACD... | 231 |
REPRESENTATIONS OF THE GROUP QU2 OF UNIMODULAR QUASIUNITARY MATRICES OF THE SECOND ORDER AND THE FUNCTIO... | 288 |
REPRESENTATIONS OF THE GROUP OF REAL UNIMODULAR MATRICES AND THE HYPERGEOMETRIC FUNCTION | 344 |
THE GROUP OF ROTATIONS OF nDIMENSIONAL EUCLIDEAN SPACE AND GEGENBAUER FUNCTIONS | 435 |
REPRESENTATIONS OF THE GROUP OF HYPERBOLIC ROTATIONS OF nDIMENSIONAL SPACE AND LEGENDRE FUNCTIONS | 503 |
THE GROUP OF MOTIONS OF THE nDIMENSIONAL EUCLIDEAN SPACE AND BESSEL FUNCTIONS | 547 |
REMARKS AND BIBLIOGRAPHICAL NOTES | 569 |
| 575 | |
| 601 | |
| 611 | |
REPRESENTATIONS OF THE GROUP OF THIRD ORDER TRIANGULAR MATRICES AND THE WHITTAKER FUNCTIONS | 400 |
Häufige Begriffe und Wortgruppen
a₁ Akad basis Bessel functions calculate Chapter coefficients compact group complex composition theorem convergent coordinates corresponding cosets decomposed decomposition defined denote direct sum Dokl element g euclidean space Euler angles expression f₁ Fourier transform func function f(x g₁ Gegenbauer polynomials group G h₁ harmonic polynomial Hence Hilbert space homogeneous hyperbolic rotations hyperboloid hypergeometric function infinitely differentiable infinitesimal operators invariant subspace inversion formula irreducible representations irreducible unitary representations kernel l₁ Laplace operator Legendre functions Math matrix elements Mellin transform Nauk SSSR obtain orthogonal parameters plane proved quasi-regular representation R₂ real numbers recurrence formulas recurrence relations regular representation representation T(g Russian scalar product SH(n SO(n space of functions sphere subsection t₁ T₂ tions transl values variables vector Whittaker functions zonal spherical function
Verweise auf dieses Buch
Introduction to Quantum Groups Masud Chaichian,Andrei Pavlovich Demichev Eingeschränkte Leseprobe - 1996 |