Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group

DOI10.1142/S021953051450047XzbMath1335.46022arXiv1301.3783OpenAlexW2963813673MaRDI QIDQ4983021

Davide Barbieri, Giovanna Citti

Publication date: 14 April 2015

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

Full work available at URL: https://arxiv.org/abs/1301.3783

zbMATH Keywords

reproducing kernel Hilbert spacesuncertainty principleEuclidean motion groupCR functions

Mathematics Subject Classification ID

Coherent states (81R30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other transforms and operators of Fourier type (43A32) CR functions (32V10)

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Cites Work

• Unnamed Item
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• Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions
• A cortical based model of perceptual completion in the roto-translation space
• The uncertainty principle: A mathematical survey
• Abstract harmonic analysis of continuous wavelet transforms
• Coherent states for arbitrary Lie group
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• A Modern Approach to Functional Integration
• Coherent states for n-dimensional Euclidean groups E(n) and their application
• Ten Lectures on Wavelets
• Coherent states over symplectic homogeneous spaces
• Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory

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