[1] Ali, S.T., Englis, M.: Quantization methods: a guide for physicists and analysts. Rev. Math. Phys. 17 (4) (2005), 391–490. DOI 10.1142/S0129055X05002376 | MR 2151954 | Zbl 1075.81038

[2] Arazy, J., Upmeier, H.: Weyl Calculus for Complex and Real Symmetric Domains. Harmonic analysis on complex homogeneous domains and Lie groups (Rome, 2001), vol. 13, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 2002, pp. 165–181. MR 1984098

[3] Arazy, J., Upmeier, H.: Invariant symbolic calculi and eigenvalues of invariant operators on symmeric domains. Function spaces, interpolation theory and related topics (Lund, 2000), de Gruyter, Berlin, 2002, pp. 151–211. MR 1943284

[4] Arnal, D., Cahen, M., Gutt, S.: Representations of compact Lie groups and quantization by deformation. Acad. R. Belg. Bull. Cl. Sc. 3e série LXXIV 45 (1988), 123–140. MR 1027456

[5] Bekka, M.B., de la Harpe, P.: Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Expo. Math. 21 (2) (2003), 115–149. DOI 10.1016/S0723-0869(03)80014-2 | MR 1978060

[6] Berezin, F.A.: Quantization. Math. USSR Izv. 8 (5) (1974), 1109–1165. MR 0395610 | Zbl 0312.53049

[7] Berezin, F.A.: Quantization in complex symmetric domains. Math. USSR Izv. 9 (2) (1975), 341–379. DOI 10.1070/IM1975v009n02ABEH001480

[8] Brif, C., Mann, A.: Phase-space formulation of quantum mechanics and quantum-state reconstruction for physical systems with Lie-group symmetries. Phys. Rev. A 59 (2) (1999), 971–987. DOI 10.1103/PhysRevA.59.971 | MR 1679730

[9] Cahen, B.: Contractions of $SU(1,n)$ and $SU(n+1)$ via Berezin quantization. J. Anal. Math. 97 (2005), 83–101. DOI 10.1007/BF02807403 | MR 2274974

[10] Cahen, B.: Berezin quantization on generalized flag manifolds. Math. Scand. 105 (2009), 66–84. DOI 10.7146/math.scand.a-15106 | MR 2549798 | Zbl 1183.22006

[11] Cahen, B.: Stratonovich-Weyl correspondence for compact semisimple Lie groups. Rend. Circ. Mat. Palermo 59 (2010), 331–354. DOI 10.1007/s12215-010-0026-y | MR 2745515 | Zbl 1218.22008

[12] Cahen, B.: Berezin quantization and holomorphic representations. Rend. Sem. Mat. Univ. Padova 129 (2013), 277–297. DOI 10.4171/RSMUP/129-16 | MR 3090642

[13] Cahen, B.: Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group. Rend. Sem. Mat. Univ. Padova 136 (2016), 69–93. DOI 10.4171/RSMUP/136-7 | MR 3593544

[14] Cahen, M., Gutt, S., Rawnsley, J.: Quantization on Kähler manifolds I, Geometric interpretation of Berezin quantization. J. Geom. Phys. 7 (1990), 45–62. DOI 10.1016/0393-0440(90)90019-Y | MR 1094730

[15] Cariñena, J.F., Gracia-Bondìa, J.M., Vàrilly, J.C.: Relativistic quantum kinematics in the Moyal representation. J. Phys. A: Math. Gen. 23 (1990), 901–933. DOI 10.1088/0305-4470/23/6/015 | MR 1048769 | Zbl 0706.60108

[16] Englis, M.: Berezin transform on pluriharmonic Bergmann spaces. Trans. Amer. Math. Soc. 361 (2009), 1173–1188. DOI 10.1090/S0002-9947-08-04653-9 | MR 2457394

[17] Figueroa, H., Gracia-Bondìa, J.M., Vàrilly, J.C.: Moyal quantization with compact symmetry groups and noncommutative analysis. J. Math. Phys. 31 (1990), 2664–2671. DOI 10.1063/1.528967 | MR 1075750

[18] Folland, B.: Harmonic Analysis in Phase Space. Princeton Univ. Press, 1989. MR 0983366 | Zbl 0682.43001

[19] Gracia-Bondìa, J.M.: Generalized Moyal quantization on homogeneous symplectic spaces. Deformation theory and quantum groups with applications to mathematical physics, Amherst, MA, 1990, Contemp. Math., 134, Amer. Math. Soc., Providence, RI, 1992, pp. 93–114. MR 1187280

[20] Gracia-Bondìa, J.M., Vàrilly, J.C.: The Moyal representation for spin. Ann. Physics 190 (1989), 107–148. DOI 10.1016/0003-4916(89)90262-5 | MR 0994048

[21] Helgason, S.: Differential Geometry, Lie Groups and Symmetric Spaces. Graduate Studies in Mathematics, vol. 34, American Mathematical Society, Providence, Rhode Island, 2001. DOI 10.1090/gsm/034 | MR 1834454 | Zbl 0993.53002

[22] Kirillov, A.A.: Lectures on the Orbit Method. Graduate Studies in Mathematics, vol. 64, American Mathematical Society, Providence, Rhode Island, 2004. DOI 10.1090/gsm/064 | MR 2069175

[23] Kobayashi, T.: Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs. Representation theory and automorphic forms, vol. 255, Birkhäuser Boston, Boston, MA, Progr. Math. ed., 2008, pp. 45–109. MR 2369496

[24] Kostant, B.: Quantization and unitary representations. Lecture Notes in Math., vol. 170, Springer-Verlag, Berlin, Heidelberg, New-York, Modern Analysis and Applications ed., 1970, pp. 87–207. MR 0294568 | Zbl 0223.53028

[25] Neeb, K-H.: Holomorphy and Convexity in Lie Theory, de Gruyter Expositions in Mathematics. vol. 28, Walter de Gruyter, Berlin, New-York, 2000. MR 1740617

[26] Nomura, T.: Berezin transforms and group representations. J. Lie Theory 8 (1998), 433–440. MR 1650386

[27] Ørsted, B., Zhang, G.: Weyl quantization and tensor products of Fock and Bergman spaces. Indiana Univ. Math. J. 43 (2) (1994), 551–583. DOI 10.1512/iumj.1994.43.43023 | MR 1291529

[28] Stembridge, J.R.: Multiplicity-free products and restrictions of Weyl characters. Representation Theory 7 (2003), 404–439. DOI 10.1090/S1088-4165-03-00150-X | MR 2017064

[29] Stratonovich, R.L.: On distributions in representation space. Soviet Physics. JETP 4 (1957), 891–898. MR 0088173

[30] Unterberger, A., Upmeier, H.: Berezin transform and invariant differential operators. Commun. Math. Phys. 164 (3) (1994), 563–597. DOI 10.1007/BF02101491 | MR 1291245 | Zbl 0843.32019

[31] Wallach, N.R.: Harmonic Analysis on Homogeneous Spaces. Marcel Dekker, Inc., 1973. MR 0498996

[32] Wildberger, N.J.: On the Fourier transform of a compact semi simple Lie group. J. Austral. Math. Soc. A 56 (1994), 64–116. DOI 10.1017/S1446788700034741 | MR 1250994

[33] Zhang, G.: Berezin transform on compact Hermitian symmetric spaces. Manuscripta Math. 97 (1998), 371–388. DOI 10.1007/s002290050109 | MR 1654800 | Zbl 0920.22008