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A sparse approximation for fractional Fourier transform
The paper promotes a new sparse approximation for fractional Fourier transform, which is based on adaptive Fourier decomposition in Hardy-Hilbert...
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Stability of the Faber-Krahn inequality for the short-time Fourier transform
We prove a sharp quantitative version of the Faber–Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit
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Phase Retrieval from Sampled Gabor Transform Magnitudes: Counterexamples
We consider the recovery of square-integrable signals from discrete, equidistant samples of their Gabor transform magnitude and show that, in...
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The Berezin Transform and Its Applications
We give a survey on the Berezin transform and its applications in operator theory. The focus is on the Bergman space of the unit disk and the Fock...
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Wick and Anti-Wick Characterizations of Linear Operators on Spaces of Power Series Expansions
We study links between Wick, anti-Wick and analytic kernel operators on the Bargmann transform side. We consider classes of kernels, whose...
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Short-time special affine Fourier transform for quaternion-valued functions
The special affine Fourier transform is a promising tool for analyzing transient signals with more degrees of freedom via a chirp-like basis. In this...
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Multiresolution analysis for linear canonical S transform
To deal with the time-varying signals, linear canonical S transform (LCST) is introduced to possess some desirable characteristics that are absent in...
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On a Slice Hyper-Meromorphic Bergman Space
We intend to introduce and investigate a new functional space on the quaternionic unit ball of slice hyper-meromorphic functions with unique pole at...
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Complex FIOs and composition of Toeplitz operators
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of complex quadratic forms, from the point of view of...
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Beurling-Type Density Criteria for System Identification
This paper addresses the problem of identifying a linear time-varying (LTV) system characterized by a (possibly infinite) discrete set of...
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Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications
We present forms of the classical Riesz–Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our...
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Sampling at Twice the Nyquist Rate in Two Frequency Bins Guarantees Uniqueness in Gabor Phase Retrieval
We show that bandlimited signals can be uniquely recovered (up to a constant global phase factor) from Gabor transform magnitudes sampled at twice...
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A Note on the HRT Conjecture and a New Uncertainty Principle for the Short-Time Fourier Transform
In this note we provide a negative answer to a question raised by Kreisel concerning a condition on the short-time Fourier transform that would imply...
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Dual of 2D Fractional Fourier Transform Associated to Itô–Hermite Polynomials
A class of integral transforms, on the planar Gaussian Hilbert space with range in the weighted Bergman space on the bi-disk, is defined as the dual...
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Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications
We present forms of the classical Riesz–Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our...
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Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators
We discuss an extension of Toeplitz quantization based on polyanalytic functions. We derive isomorphism theorem for polyanalytic Toeplitz operators...
