Normal covariant quantization maps

Jukka Kiukas; Pekka Lahti; Kari Ylinen

doi:10.1016/j.jmaa.2005.06.069

Normal covariant quantization maps

Jukka Kiukas^*, Pekka Lahti, Kari Ylinen

^*Corresponding author for this work

University of Turku

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

We consider questions related to quantizing complex valued functions defined on a locally compact topological group. In the case of bounded functions, we generalize R. Werner's approach to prove the characterization of the associated normal covariant quantization maps.

Original language	English
Pages (from-to)	783-801
Number of pages	19
Journal	Journal of Mathematical Analysis and Applications
Volume	319
Issue number	2
Early online date	05 Aug 2005
DOIs	https://doi.org/10.1016/j.jmaa.2005.06.069
Publication status	Published - 15 Jul 2006
Externally published	Yes

Keywords

Covariant map
Observable
Operator integral
Positive operator measure
Quantization
Radon-Nikodým property

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title = "Normal covariant quantization maps",

abstract = "We consider questions related to quantizing complex valued functions defined on a locally compact topological group. In the case of bounded functions, we generalize R. Werner's approach to prove the characterization of the associated normal covariant quantization maps.",

keywords = "Covariant map, Observable, Operator integral, Positive operator measure, Quantization, Radon-Nikod{\'y}m property",

author = "Jukka Kiukas and Pekka Lahti and Kari Ylinen",

year = "2006",

month = jul,

day = "15",

doi = "10.1016/j.jmaa.2005.06.069",

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T1 - Normal covariant quantization maps

AU - Kiukas, Jukka

AU - Lahti, Pekka

AU - Ylinen, Kari

PY - 2006/7/15

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N2 - We consider questions related to quantizing complex valued functions defined on a locally compact topological group. In the case of bounded functions, we generalize R. Werner's approach to prove the characterization of the associated normal covariant quantization maps.

AB - We consider questions related to quantizing complex valued functions defined on a locally compact topological group. In the case of bounded functions, we generalize R. Werner's approach to prove the characterization of the associated normal covariant quantization maps.

KW - Covariant map

KW - Observable

KW - Operator integral

KW - Positive operator measure

KW - Quantization

KW - Radon-Nikodým property

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U2 - 10.1016/j.jmaa.2005.06.069

DO - 10.1016/j.jmaa.2005.06.069

M3 - Article

AN - SCOPUS:33645993567

SN - 0022-247X

VL - 319

SP - 783

EP - 801

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Normal covariant quantization maps

Abstract

Keywords

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