Explicit constructions and properties of generalized shift-invariant systems in L 2 ( ℝ ) $L^{2}(\mathbb {R})$-Reference-Cited by-同舟云学术

Explicit constructions and properties of generalized shift-invariant systems in L 2 ( ℝ ) $L^{2}(\mathbb {R})$

Published:2016-10-21 Issue:2 Volume:43 Page:443-472
ISSN:1019-7168
Container-title:Advances in Computational Mathematics
language:en
Short-container-title:Adv Comput Math

Author:

Christensen Ole,Hasannasab Marzieh,Lemvig Jakob

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10444-016-9492-x.pdf

Reference22 articles.

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2. Bownik, M., Lemvig, J.: Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc. 363(4), 1887–1924 (2011)

3. Bownik, M., Rzeszotnik, Z.: The spectral function of shift-invariant spaces on general lattices. In: Wavelets, Frames and Operator Theory, Volume 345 of Contemp. Math., pp 49–59. Amer. Math. Soc., Providence (2004)

4. Christensen, O.: An Introduction to Frames and Riesz Bases. Second Expanded Edition. Applied and Numerical Harmonic Analysis. Birkhäuser Boston Inc., Boston (2016)

5. Christensen, O., Goh, S. S.: Fourier-like frames on locally compact abelian groups. J. Approx. Theory 192, 82–101 (2015)

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