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Linear Frames as Orbits of Projective Frames
A multidimensional projective space with a marked point (center) is considered. On the manifold of projective frames of the given space that are...
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Controlled g-frames and dual g-frames in Hilbert spaces
As generalizations of g-frames and controlled frames, the theory of controlled g-frames has been deeply studied. This paper addresses the controlled...
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Characteizations of woven g-frames and weaving g-frames in Hilbert spaces and C*-modules
In this paper, using Parseval frames we generalize Sun’s results to g-frames in Hilbert C *-modules. Moreover, for g-frames in Hilbert spaces, we...
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Discrete Gabor frames and K-discrete Gabor frames
The theory of discrete Gabor (D-G) frames has attracted many mathematicians and engineers due to its potential applications in digital signal...
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Some relations between continuous generalized frames
Generalized frames are natural generalizations of frames. The computation of distances between frames is a crucial concept in frame theory. In this...
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Characterization of Dual Scalable Frames
Scalable frames in separable Hilbert spaces have been recently introduced by Kutyniok et al. to modify a general frame and to generate a Parseval...
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On characterization and construction of bi-g-frames
Bi-g-frame, was introduced as a pair of operator sequences, could obtain a new reconstruction formula for elements in Hilbert spaces. In this paper...
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Characterization of (Weak) Phase Retrieval Dual Frames
Recovering a signal up to a unimodular constant from the magnitudes of linear measurements has been popular and well studied in recent years....
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GP-woven dual frames
The concept of P-woven duals of a collection of frames can be interpreted as a reconstruction strategy. To find the other dual frames also may be...
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Weighted Composition Operators That Preserve Frames On Weighted Hardy Spaces
In this paper, we characterize weighted composition operators that preserve frames on the weighted Hardy spaces in the unit disk. In particular, we...
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Operators and dual frames in biframes
In recent decades, the frame theory and related topics have been attracted by many researchers. Biframe, a concept related to frames, was introduced...
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Semilattice Base Hierarchy for Frames and Its Topological Ramifications
We develop a hierarchy of semilattice bases (S-bases) for frames. For a given (unbounded) meet-semilattice A , we analyze the interval in the coframe...
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Cohn–Elkies Functions from Gabor Frames
We investigate the relation between two different mathematical problems: the construction of bounds on sphere packing density using Cohn–Elkies...
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Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent
Finite frames, or spanning sets for finite-dimensional Hilbert spaces, are a ubiquitous tool in signal processing. There has been much recent work on...
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Spectrally optimal dual frames for erasures
We analyse the problem of characterizing optimal dual frames for erasures with respect to the spectral radius. Sufficient conditions are obtained for...
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Generalized Dual Hilbert–Schmidt Frames and Their Topological Properties
This paper addresses the Hilbert–Schmidt frame (HS-frame) theory. We introduce the concept of generalized dual HS-frame (g-dual HS-frame) which...
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New properties and existence of exact phase-retrievable g-frames
Due to the frame elements of the g-frames being operators, it has many differences from traditional frames. Hence some new characterizations of exact...
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Pervin Spaces and Frith Frames: Bitopological Aspects and Completion
A Pervin space is a set equipped with a bounded sublattice of its powerset, while its pointfree version, called Frith frame, consists of a frame...
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Equivalence Classes of Parseval Frames
AbstractOn the set of frames in a finite-dimensional space, we introduce the widest possible equivalence preserving the main characteristics of...