TIME-FREQUENCY LOCALIZATIONS FOR MODULATION SPACES ON LOCALLY COMPACT ABELIAN GROUPS

DOI10.1142/S0219691304000421zbMath1079.43013MaRDI QIDQ5692252

No author found.

Publication date: 27 September 2005

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

uncertainty principlemodulation spacesFeichtinger algebraGabor wavelet transformWiener amalgams and Balian-Low theorem

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) General theory of topological algebras (46H05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Analysis on other specific Lie groups (43A80)

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• Describing functions: Atomic decompositions versus frames
• Modulation spaces and pseudodifferential operators
• The uncertainty principle: A mathematical survey
• Integral bounds for radar ambiguity functions and Wigner distributions
• Ten Lectures on Wavelets
• Zeros of the Zak transform on locally compact abelian groups