Do uncertainty minimizers attain minimal uncertainty?

DOI10.1007/s00041-009-9099-4zbMath1196.42030OpenAlexW2031010505MaRDI QIDQ981634

Hans-Georg Stark, Nir Sochen, Chen Sagiv, Peter Maass

Publication date: 2 July 2010

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-009-9099-4

zbMATH Keywords

waveletscoherent statessignal theory

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Coherent states (81R30)

Related Items (8)

Operator properties and Heisenberg uncertainty principles for a un-unitary integral operator ⋮ Existence of uncertainty minimizers for the continuous wavelet transform ⋮ Square integrable group representations and the uncertainty principle ⋮ Norm estimates and uncertainty principles associated with the Laguerre integral transform ⋮ Signal representation, uncertainty principles and localization measures ⋮ Adjoint translation, adjoint observable and uncertainty principles ⋮ A survey of uncertainty principles and some signal processing applications ⋮ Uncertainty principles and optimally sparse wavelet transforms

Cites Work

• The affine uncertainty principle in one and two dimensions
• Coherent states, wavelets and their generalizations
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• The generalized Gabor scheme of image representation in biological and machine vision
• Wavelets associated with representations of the affine Weyl–Heisenberg group
• Harmonic Analysis in Phase Space. (AM-122)
• CONSTRUCTION OF GENERALIZED UNCERTAINTY PRINCIPLES AND WAVELETS IN ANISOTROPIC SOBOLEV SPACES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Do uncertainty minimizers attain minimal uncertainty?