Duality principles in frame theory

From MaRDI portal
Publication:1882380

DOI10.1007/s00041-004-3024-7zbMath1058.42020OpenAlexW1974565454MaRDI QIDQ1882380

Peter G. Casazza, Gitta Kutyniok, Mark C. Lammers

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1007/s00041-004-3024-7




Related Items (38)

On various R-duals and the duality principleReproducing pairs and the continuous nonstationary Gabor transform on LCA groupsDual Gramian analysis: Duality principle and unitary extension principleOn Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation GroupStability of spline-type systems in the abelian caseg-Riesz dual sequences for g-Bessel sequencesOn a class of weak R-duals and the duality relationsOn R-duals of type III in Hilbert spacesProbability modelled optimal frames for erasuresDuality for matrix-valued wave packet frames in L2(ℝd, ℂs×r)Density and duality theorems for regular Gabor framesGaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariantsCharacterizing R-duality in Banach spacesConstruction of parameterizations of masks for tight wavelet frames with two symmetric/antisymmetric generators and applications in image compression and denoisingOrthogonal projection decomposition of matrices and construction of fusion framesThe lifting factorization of wavelet bi-frames with arbitrary generatorsOn the duality principle by Casazza, Kutyniok, and LammersA duality principle for groups. II: Multi-frames meet super-framesSome properties of alternate duals and approximate alternate duals of fusion framesCharacterization and construction of \(K\)-fusion frames and their duals in Hilbert spacesSignal processing by alternate dual Gabor framesOn equivalent conditions of two sequences to be R-dualRemarks on Naimark’s dualityGeneralized framing and Riesz-dual sequences in Banach spacesDuality for framesDuality and biorthogonality for g-frames in Hilbert spacesA tomographic setting for quasi-distribution functionsDuality of Gabor frames and Heisenberg modulesDuality principles for \(F_a \)-frame theory in \(L^2 (\mathbb{R}_+ )\)Unnamed ItemAn endpoint Balian-Low theorem for Schauder basesCharacterizing the R-duality of g-framesConstruction of dual wavelet frame pairs and signal recoveryDuality relations for a class of generalized weak R-dualsOn R-duals and the duality principle in Banach framesOn R-duals and the duality principle in Gabor analysisA characterization of Riesz-dual sequences which are near-Markushevich basesDuality relations associated with weak g-R-duals




This page was built for publication: Duality principles in frame theory