Toeplitz and Translation Operators on the q-Fock Spaces

References

[1] V. Bargmann, “On a Hilbert Space of Analytic Functions and an Associated Integral Transform, Part I,” Communications on Pure and Applied Mathematics, Vol. 14, No. 3, 1961, pp. 187-214. doi:10.1002/cpa.3160140303

[2] C. A. Berger and L. A. Coburn, “Toeplitz Operators on the Segal-Bargmann Space,” Transactions of the American Mathematical Society, Vol. 301, 1987, pp. 813-829.
doi:10.1090/S0002-9947-1987-0882716-4

[3] F. M. Cholewinski “Generalized Fock Spaces and Associated Operators,” Society for Industrial and Applied Mathematics, Journal on Mathematical Analysis, Vol. 15, No. 1, 1984, pp. 177-202. doi:10.1137/0515015

[4] G. H. Jackson, “On a q-Definite Integrals,” Quarterly Journal of Pure and Applied Mathematics, Vol. 41, 1910, pp. 193-203.

[5] T. H. Koornwinder, “Special Functions and q-Commuting Variables,” Fields Institute Communications, Vol. 14, 1997, pp. 131-166.

[6] G. Andrews, R. Askey and R. Roy, “Special Functions,” Cambridge University Press, Cambridge, 1999.