Making more approximate oblique dual frame pairs (Q6124322): Difference between revisions

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scientific article; zbMATH DE number 7825637

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English	Making more approximate oblique dual frame pairs	scientific article; zbMATH DE number 7825637

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scholarly article

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title

Making more approximate oblique dual frame pairs (English)

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published in

Annals of Functional Analysis

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publication date

27 March 2024

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review text

The authors introduce and study several sufficient conditions for constructing approximate oblique dual frame pairs under the general Hilbert space setting. Moreover, they obtain some parallel results given in frame theory. In addition, some applications are given in shift-invariant subspaces.

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reviewed by

Ashok Kumar Sah

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zbMATH Keywords

frame

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dual frame

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oblique dual frame

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approximate dual frame

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approximate oblique dual frame

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s43034-024-00325-0

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cites work

Portraits of Frames

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Sampling and reconstruction in distinct subspaces using oblique projections

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Invariances of frame sequences under perturbations

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The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)

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Perturbation of operators and applications to frame theory

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Frames Containing a Riesz Basis and Preservation of This Property Under Perturbations

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A Paley-Wiener Theorem for Frames

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Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace

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An introduction to frames and Riesz bases

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Oblique dual frames and shift-invariant spaces

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Perturbation of frame sequences in shift-invariant spaces

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Perturbation of frames for a subspace of a Hilbert space.

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Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames

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Painless nonorthogonal expansions

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Approximate oblique dual frames

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A Class of Nonharmonic Fourier Series

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Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors

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On the stability of frames and Riesz bases

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Varying the time-frequency lattice of Gabor frames

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Construct approximate dual g-frames in Hilbert spaces

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Framelets and wavelets. Algorithms, analysis, and applications

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Q5436348

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A basis theory primer.

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PERTURBED FRAME SEQUENCES: CANONICAL DUAL SYSTEMS, APPROXIMATE RECONSTRUCTIONS AND APPLICATIONS

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Some properties of approximately dual frames in Hilbert spaces

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Q4110164

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Characterization of the closedness of the sum of two shift-invariant spaces

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Perturbation of frame sequences and its applications to shift-invariant spaces

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On general frame decompositions

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The formation and portraits of subspaceFa-frames

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Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces

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Sampling-50 years after Shannon

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Oblique dual frames in finite-dimensional Hilbert spaces

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Q3955832

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Portraits and perturbations of Hilbert-Schmidt frame sequences

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Identifiers

DOI

10.1007/s43034-024-00325-0

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6124322

@@ Property / cites work @@
+Portraits of Frames
@@ Property / cites work: Portraits of Frames / rank @@
+Normal rank
@@ Property / cites work @@
+Sampling and reconstruction in distinct subspaces using oblique projections
+Normal rank
@@ Property / cites work @@
+Invariances of frame sequences under perturbations
+Normal rank
@@ Property / cites work @@
+The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
+Normal rank
@@ Property / cites work @@
+Perturbation of operators and applications to frame theory
+Normal rank
@@ Property / cites work @@
+Frames Containing a Riesz Basis and Preservation of This Property Under Perturbations
+Normal rank
@@ Property / cites work @@
+A Paley-Wiener Theorem for Frames
@@ Property / cites work: A Paley-Wiener Theorem for Frames / rank @@
+Normal rank
@@ Property / cites work @@
+Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace
+Normal rank
@@ Property / cites work @@
+An introduction to frames and Riesz bases
@@ Property / cites work: An introduction to frames and Riesz bases / rank @@
+Normal rank
@@ Property / cites work @@
+Oblique dual frames and shift-invariant spaces
@@ Property / cites work: Oblique dual frames and shift-invariant spaces / rank @@
+Normal rank
@@ Property / cites work @@
+Perturbation of frame sequences in shift-invariant spaces
+Normal rank
@@ Property / cites work @@
+Perturbation of frames for a subspace of a Hilbert space.
+Normal rank
@@ Property / cites work @@
+Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
+Normal rank
@@ Property / cites work @@
+Painless nonorthogonal expansions
@@ Property / cites work: Painless nonorthogonal expansions / rank @@
+Normal rank
@@ Property / cites work @@
+Approximate oblique dual frames
@@ Property / cites work: Approximate oblique dual frames / rank @@
+Normal rank
@@ Property / cites work @@
+A Class of Nonharmonic Fourier Series
@@ Property / cites work: A Class of Nonharmonic Fourier Series / rank @@
+Normal rank
@@ Property / cites work @@
+Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
+Normal rank
@@ Property / cites work @@
+On the stability of frames and Riesz bases
@@ Property / cites work: On the stability of frames and Riesz bases / rank @@
+Normal rank
@@ Property / cites work @@
+Varying the time-frequency lattice of Gabor frames
+Normal rank
@@ Property / cites work @@
+Construct approximate dual g-frames in Hilbert spaces
+Normal rank
@@ Property / cites work @@
+Framelets and wavelets. Algorithms, analysis, and applications
+Normal rank
@@ Property / cites work @@
+Q5436348
@@ Property / cites work: Q5436348 / rank @@
+Normal rank
@@ Property / cites work @@
+A basis theory primer.
@@ Property / cites work: A basis theory primer. / rank @@
+Normal rank
@@ Property / cites work @@
+PERTURBED FRAME SEQUENCES: CANONICAL DUAL SYSTEMS, APPROXIMATE RECONSTRUCTIONS AND APPLICATIONS
+Normal rank
@@ Property / cites work @@
+Some properties of approximately dual frames in Hilbert spaces
+Normal rank
@@ Property / cites work @@
+Q4110164
@@ Property / cites work: Q4110164 / rank @@
+Normal rank
@@ Property / cites work @@
+Characterization of the closedness of the sum of two shift-invariant spaces
+Normal rank
@@ Property / cites work @@
+Perturbation of frame sequences and its applications to shift-invariant spaces
+Normal rank
@@ Property / cites work @@
+On general frame decompositions
@@ Property / cites work: On general frame decompositions / rank @@
+Normal rank
@@ Property / cites work @@
+The formation and portraits of subspace<i>F</i><sub><i>a</i></sub>-frames
+Normal rank
@@ Property / cites work @@
+Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
+Normal rank
@@ Property / cites work @@
+Sampling-50 years after Shannon
@@ Property / cites work: Sampling-50 years after Shannon / rank @@
+Normal rank
@@ Property / cites work @@
+Oblique dual frames in finite-dimensional Hilbert spaces
+Normal rank
@@ Property / cites work @@
+Q3955832
@@ Property / cites work: Q3955832 / rank @@
+Normal rank
@@ Property / cites work @@
+Portraits and perturbations of Hilbert-Schmidt frame sequences
+Normal rank