Toeplitz Quantization of an Analogue of the Manin Plane

Author:

Sontz Stephen Bruce

Publisher

Springer International Publishing

Reference6 articles.

1. Bargmann, V.: On a Hilbert space of analytic functions and an associated integral transform. Commun. Pure Appl. Math. 14, 187–214 (1961). MR 0157250

2. El Baz, M., Fresneda, R., Gazeau, J.P., Hassouni, Y.: Coherent state quantization of paragrassmann algebras. J. Phys. A43(38), 385202 (2010). Erratum in arXiv:1004.4706v3

3. Sontz, S.B.: A reproducing kernel and Toeplitz operators in the quantum plane. Commun. Math. 21(2), 137–160 (2013). MR 3159286

4. Sontz, S.B.: Paragrassmann algebras as quantum spaces, Part II: Toeplitz operators. J. Operator Theory 71(2), 411–426 (2014). MR 3214644

5. Sontz, S.B.: Toeplitz quantization without measure or inner product. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds.) XXXII Workshop, Białowieża, Geometric Methods in Physics, Poland, Trends in Mathematics, Birkhäuser/Springer, Cham (2014), pp. 57–66. MR 3587680

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