Title

Lattice tiling and the Weyl-Heisenberg frames

Authors

Authors

D. G. Han;Y. Wang

Comments

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Abbreviated Journal Title

Geom. Funct. Anal.

Keywords

SETS; Mathematics

Abstract

Let L and K be two full rank lattices in R-d. We prove that if v(L) = v(K), i.e. they have the same volume, then there exists a measurable set Omega such that it tiles R-d by both L and K. A counterexample shows that the above tiling result is false for three or more lattices. Furthermore, we prove that if v(L) less than or equal to v(K) then there exists a measurable set Omega such that it tiles by L and packs by K. Using these tiling results we answer a well-known question on the density property of Weyl-Heisenberg frames.

Journal Title

Geometric and Functional Analysis

Volume

11

Issue/Number

4

Publication Date

1-1-2001

Document Type

Article

Language

English

First Page

742

Last Page

758

WOS Identifier

WOS:000172535800004

ISSN

1016-443X

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