References
- Loos , O . 1977 . Bounded Symmetric Domains and Jordan Pairs , Irvine : University of California .
- Faraut , J and Korányi , A . 1990 . Function spaces and reproducing kernels on bounded symmetric domains . J. Funct. Anal. , 88 : 64 – 89 .
- Upmeier , H . Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics, CBMS Series in Mathematics, Vol. 67, American Mathematical Society, Providence, Rhode Island, 1987
- Yin , W , Lu , K and Roos , G . 2004 . New classes of domains with explicit Bergman kernel . Sci. China, Ser. A , 47 : 352 – 371 .
- Yin , W . 1999 . The Bergman kernel on Super–Cartan domain of the first domains . Sci. China, Ser. A , 29 : 607 – 619 . (in Chinese)
- Yin , W . 1999 . The Bergman kernel on four types of super-Cartan domains . Chi. Sci. Bull. , 44 : 1391 – 1395 .
- Yin , W . 2002 . New progress for the Bergman Kernel function with explicit formula on bounded domain . Adv. Math. (China) , 31 : 295 – 312 .
- Yin , W . 2007 . The summarizations on research of Hua domain . Adv. Math. (China) , 36 : 129 – 152 .
- Yin , W . 2008 . Zeros of Bergman kernel function on bounded domains in ℂn . Adv. Math. (China) , 37 ( 1 ) : 1 – 14 .
- Roos , G . 2005 . Weighted Bergman kernels and virtual Bergman kernels . Scie. China Ser., A Mathematics , 48 ( Suppl. ) : 225 – 237 .
- Engliš , M and Zhang , G . 2006 . On a generalized Forelli-Rudin construction . Complex Var. Elliptic Eqns. , 51 ( 3 ) : 277 – 294 .
- Yin , W . Some topics related to Bergman kernel , Available at arXiv: math.CV/0805.1269v3[math. CV], 23 May, 2008
- Macdonald , IG . 1995 . Symmetric Functions and Hall Polynomials , , 2nd , New York : Oxford University Press .
- Hua , LK . Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, Providence, RI: American Mathematical Society, 1963
- Yan , Z . 1992 . A class of generalized hypergeometric functions in several variables . Can. J. Math. , 44 : 1317 – 1338 .
- Kadell , KWJ . 1997 . The Selberg-Jack symmetric functions . Adv. Math. , 130 : 33 – 102 .
- Kanedo , J . 1993 . Selberg integrals and hypergeometric functions associated with Jack polynomials . SIAM J. Math. Anal. , 24 : 1086 – 1110 .
- Andrews , GE , Askey , R and Roy , R . 2000 . Special Function , London : Cambridge University Press .
- Warnaar , SO . 2005 . q-Selberg Integrals and Macdonald polynomials . Ramanujan J. , 10 ( 2 ) : 237 – 268 .
- Fyodorov , YV and Khoruzhenko , BA . 2007 . A few remarks on colour–flavour transformations, truncations of random unitary matrices, Berezin reproducing kernels and Selberg-type integrals . J. Phys. A: Math. Theor. , 40 : 669 – 699 .
- Feng , Z and Song , J . 2009 . Integrals over the circular ensembles relating to classical domains . J. Phys. A: Math. Theor. , 42 : 23 325204
- Faraut , J , Kaneyuki , S , Korányi , A , Lu , QK and Roos , G . 2000 . Analysis and Geometry on Complex Homogeneous Domains, Progress in Mathematics , Vol. 185 , Boston : Birkhäuser .
- Yan , Z . 2000 . Invariant differential operators and holomorphic function spaces . J. Lie Theory , 10 : 1 – 31 .
- Arazy , J and Upmeier , H . 1997 . Invariant inner product in spaces of holomorphic functions on bounded symmetric domains . Documenta Math. , 2 : 213 – 261 .