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An integral transform related to quantization. II. Some mathematical properties

Publication ,  Journal Article
Daubechies, I; Grossmann, A; Reignier, J
Published in: Journal of Mathematical Physics
January 1, 1982

We study in more detail the mathematical properties of the integral transform relating the matrix elements between coherent states of a quantum operator to the corresponding classical function. Explicit families of Hilbert spaces are constructed between which the integral transform is an isomorphism. © 1983 American Institute of Physics.

Duke Scholars

Published In

Journal of Mathematical Physics

DOI

ISSN

0022-2488

Publication Date

January 1, 1982

Volume

24

Issue

2

Start / End Page

239 / 254

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Daubechies, I., Grossmann, A., & Reignier, J. (1982). An integral transform related to quantization. II. Some mathematical properties. Journal of Mathematical Physics, 24(2), 239–254. https://doi.org/10.1063/1.525699
Daubechies, I., A. Grossmann, and J. Reignier. “An integral transform related to quantization. II. Some mathematical properties.” Journal of Mathematical Physics 24, no. 2 (January 1, 1982): 239–54. https://doi.org/10.1063/1.525699.
Daubechies I, Grossmann A, Reignier J. An integral transform related to quantization. II. Some mathematical properties. Journal of Mathematical Physics. 1982 Jan 1;24(2):239–54.
Daubechies, I., et al. “An integral transform related to quantization. II. Some mathematical properties.” Journal of Mathematical Physics, vol. 24, no. 2, Jan. 1982, pp. 239–54. Scopus, doi:10.1063/1.525699.
Daubechies I, Grossmann A, Reignier J. An integral transform related to quantization. II. Some mathematical properties. Journal of Mathematical Physics. 1982 Jan 1;24(2):239–254.

Published In

Journal of Mathematical Physics

DOI

ISSN

0022-2488

Publication Date

January 1, 1982

Volume

24

Issue

2

Start / End Page

239 / 254

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences