# Toeplitz-Berezin quantization and non-commutative differential geometry

Banach Center Publications (1997)

- Volume: 38, Issue: 1, page 385-400
- ISSN: 0137-6934

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topUpmeier, Harald. "Toeplitz-Berezin quantization and non-commutative differential geometry." Banach Center Publications 38.1 (1997): 385-400. <http://eudml.org/doc/208643>.

@article{Upmeier1997,

abstract = {In this survey article we describe how the recent work in quantization in multi-variable complex geometry (domains of holomorphy, symmetric domains, tube domains, etc.) leads to interesting results and problems in C*-algebras which can be viewed as examples of the "non-commutative geometry" in the sense of A. Connes. At the same time, one obtains new functional calculi (of pseudodifferential type) with possible applications to partial differential equations and group representations.},

author = {Upmeier, Harald},

journal = {Banach Center Publications},

keywords = {non-commutative geometry; domains of holomorphy; quantization in multi-variable complex geometry; symmetric domains; tube domains; -algebras; functional calculi; pseudodifferential type; partial differential equations; group representations},

language = {eng},

number = {1},

pages = {385-400},

title = {Toeplitz-Berezin quantization and non-commutative differential geometry},

url = {http://eudml.org/doc/208643},

volume = {38},

year = {1997},

}

TY - JOUR

AU - Upmeier, Harald

TI - Toeplitz-Berezin quantization and non-commutative differential geometry

JO - Banach Center Publications

PY - 1997

VL - 38

IS - 1

SP - 385

EP - 400

AB - In this survey article we describe how the recent work in quantization in multi-variable complex geometry (domains of holomorphy, symmetric domains, tube domains, etc.) leads to interesting results and problems in C*-algebras which can be viewed as examples of the "non-commutative geometry" in the sense of A. Connes. At the same time, one obtains new functional calculi (of pseudodifferential type) with possible applications to partial differential equations and group representations.

LA - eng

KW - non-commutative geometry; domains of holomorphy; quantization in multi-variable complex geometry; symmetric domains; tube domains; -algebras; functional calculi; pseudodifferential type; partial differential equations; group representations

UR - http://eudml.org/doc/208643

ER -

## References

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