On Partition of Unities Generated by Entire Functions and Gabor Frames in $$ L^2({\mathbb R}^d) $$ L 2 ( R d ) and $$\ell ^2({\mathbb Z}^d)$$ ℓ 2 ( Z d )-Reference-Cited by-同舟云学术

On Partition of Unities Generated by Entire Functions and Gabor Frames in $$ L^2({\mathbb R}^d) $$ L 2 ( R d ) and $$\ell ^2({\mathbb Z}^d)$$ ℓ 2 ( Z d )

Published:2015-12-21 Issue:5 Volume:22 Page:1121-1140
ISSN:1069-5869
Container-title:Journal of Fourier Analysis and Applications
language:en
Short-container-title:J Fourier Anal Appl

Author:

Christensen Ole,Kim Hong Oh,Kim Rae Young

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00041-015-9450-x.pdf

Reference20 articles.

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2. Christensen, O., Kim, R.Y.: Pairs of explicitly given dual Gabor frames in $$L^2(R^d)$$ L 2 ( R d ) . J. Fourier Anal. Appl. 12(3), 243–255 (2006)

3. Christensen, O., Kim, H.O., Kim, R.Y.: On entire functions restricted to intervals, partition of unities, and dual Gabor frames. Appl. Comput. Harmon. Anal. 38, 72–86 (2015)

4. Cvetković, Z., Vetterli, M.: Tight Weyl–Heisenberg frames. IEEE Trans. Signal. Proc. 46(5), 1256–1259 (1998)

5. Cvetković, Z., Vetterli, M.: Oversampled filter banks. IEEE Trans. Signal. Proc. 46(5), 1245–1255 (1998)

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