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Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations

Publication ,  Journal Article
Daubechies, I; Paul, T
Published in: Inverse Problems
December 1, 1988

Operators which localise both in time and frequency are constructed. They restrict to a finite time interval and cut off low as well as high frequencies (band-pass filters). Explicit expressions for eigenvalues and eigenfunctions (Laguerre functions) are given.

Duke Scholars

Published In

Inverse Problems

DOI

ISSN

0266-5611

Publication Date

December 1, 1988

Volume

4

Issue

3

Start / End Page

661 / 680

Related Subject Headings

  • Applied Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0105 Mathematical Physics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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Daubechies, I., & Paul, T. (1988). Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations. Inverse Problems, 4(3), 661–680. https://doi.org/10.1088/0266-5611/4/3/009
Daubechies, I., and T. Paul. “Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations.” Inverse Problems 4, no. 3 (December 1, 1988): 661–80. https://doi.org/10.1088/0266-5611/4/3/009.
Daubechies I, Paul T. Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations. Inverse Problems. 1988 Dec 1;4(3):661–80.
Daubechies, I., and T. Paul. “Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations.” Inverse Problems, vol. 4, no. 3, Dec. 1988, pp. 661–80. Scopus, doi:10.1088/0266-5611/4/3/009.
Daubechies I, Paul T. Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations. Inverse Problems. 1988 Dec 1;4(3):661–680.
Journal cover image

Published In

Inverse Problems

DOI

ISSN

0266-5611

Publication Date

December 1, 1988

Volume

4

Issue

3

Start / End Page

661 / 680

Related Subject Headings

  • Applied Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0105 Mathematical Physics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics