Analysis of the affine transformations of the time-frequency plane

DOI10.1017/S0004972700019274zbMath0997.22008MaRDI QIDQ2721590

Filippo de Mari, Krzysztof Nowak

Publication date: 10 July 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

commutative von Neumann algebrasextended metaplectic representationreproducing formulas

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Coherent states (81R30) Structure and classification of commutative topological algebras (46J40)

Related Items (7)

The Use of Representations in Applied Harmonic Analysis ⋮ Isotropic Shearlet Analogs forL²(ℝ^k) and Localization Operators ⋮ Reproducing subgroups of \(\mathrm{Sp}(2,\mathbb R)\). II: Admissible vectors ⋮ Anisotropic shearlet transforms for L² ⋮ Dimensional upper bounds for admissible subgroups for the metaplectic representation ⋮ Two-dimensional Shannon type expansions via one-dimensional affine and wavelet lattice actions ⋮ Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of $$SL(2,\mathbb {R})$$

Cites Work

• The uncertainty principle: A mathematical survey
• Harmonic Analysis in Phase Space. (AM-122)

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