Riesz bases of exponentials and the Bohr topology
Copyright policy )Riesz bases of exponentials and the Bohr topology
We provide a necessary and sufficient condition to ensure that a multi-tile Ω ⊂ R d \Omega \subset \mathbb {R}^{d} of positive measure (but not necessarily bounded) admits a structured Riesz basis of exponentials for L 2 ( Ω ) L^{2}(\Omega ) . New examples are given and this characterization is generalized to abstract locally compact abelian groups.
- National Scientific and Technical Research Council Argentina
- University of Waterloo Canada
- University of Buenos Aires Argentina
BOHR TOPOLOGY, MULTI-TILES, RIESZ BASIS, Trigonometric approximation, basis of exponentials, Trigonometric interpolation, BASIS OF EXPONENTIALS, General harmonic expansions, frames, Riesz basis, Bohr compactification, Bohr topology, Functional Analysis (math.FA), Mathematics - Functional Analysis, multi-tiles, Primary 42B99, 42C15. Secondary 42A10, 05B45, 42A15, Mathematics - Classical Analysis and ODEs, BOHR COMPACTIFICATION, Combinatorial aspects of tessellation and tiling problems, Classical Analysis and ODEs (math.CA), FOS: Mathematics, https://purl.org/becyt/ford/1.1, https://purl.org/becyt/ford/1, Analysis on specific locally compact and other abelian groups
BOHR TOPOLOGY, MULTI-TILES, RIESZ BASIS, Trigonometric approximation, basis of exponentials, Trigonometric interpolation, BASIS OF EXPONENTIALS, General harmonic expansions, frames, Riesz basis, Bohr compactification, Bohr topology, Functional Analysis (math.FA), Mathematics - Functional Analysis, multi-tiles, Primary 42B99, 42C15. Secondary 42A10, 05B45, 42A15, Mathematics - Classical Analysis and ODEs, BOHR COMPACTIFICATION, Combinatorial aspects of tessellation and tiling problems, Classical Analysis and ODEs (math.CA), FOS: Mathematics, https://purl.org/becyt/ford/1.1, https://purl.org/becyt/ford/1, Analysis on specific locally compact and other abelian groups
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