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Excursus on modulation spaces via metaplectic operators and related time-frequency representations
We provide a comprehensive overview of the theoretical framework surrounding modulation spaces and their characterizations, particularly focusing on...
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Some unexpected behaviors of operators with small time-frequency dispersion
We study the approximation properties of pseudo-differential operators with small time-frequency dispersion, meaning that their spreading functions...
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Randomized continuous frames in time-frequency analysis
Recently, a Monte Carlo approach was proposed for processing highly redundant continuous frames. In this paper, we present and analyze applications...
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p-Adic Time-Frequency Analysis and Its Properties
\({\mathbf {Q}}_p\) is the field of...
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Linear independence of a finite set of time-frequency shifts
This paper introduces an open conjecture in time-frequency analysis on the linear independence of a finite set of time-frequency shifts of a given L 2 ...
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Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime
On an asymptotically conical manifold, we prove time decay estimates for the flow of the Schrödinger wave and Klein–Gordon equations via some...
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Time-frequency analysis associated with the deformed Stockwell transform
In this paper, we consider the deformed Stockwell transform. Knowing the fact that the study of the time-frequency analysis are both theoretically...
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Frequency-explicit approximability estimates for time-harmonic Maxwell’s equations
We consider time-harmonic Maxwell’s equations set in a heterogeneous medium with perfectly conducting boundary conditions. Given a divergence-free...
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Totally Positive Functions in Sampling Theory and Time-Frequency Analysis
Totally positive functions play an important role in approximation theory and statistics. In this chapter I will present recent new applications of...
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A Survey on the Time-Frequency Analysis on the Half Real Line
During past more than 30 years, the time-frequency analysis on L 2(ℝ) such as wavelet and Gabor analysis has been extensively studied, but the...
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Time-frequency concentration and localization operators associated with the directional short-time fourier transform
In the present article, we prove new quantitative uncertainty principles for the directional short-time Fourier transform. Next, we introduce the...
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A Production Inventory Model for Ameliorating and Deteriorating Items with Price, Time and Advertisement Frequency Dependent Demand under the Effect of Inflation
In this paper, a production inventory system for ameliorating and deteriorating items is considered with demand dependent on price, time and...
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Frequency-based ensemble forecasting model for time series forecasting
The M4 forecasting competition challenged the participants to forecast 100,000 time series with different frequencies: hourly, daily, weekly,...
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Idiosyncrasies of the Frequency Response of Discrete-Time Equivalents of Continuous-Time System
This paper gives a detailed study of the properties or idiosyncrasies of the phase frequency response of discretized systems obtained from a...
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Landscapes of Time-Frequency Analysis ATFA 2019
This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA...
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Balanced truncation of linear time-invariant systems over finite-frequency ranges
This paper discusses model order reduction of linear time-invariant (LTI) systems over limited frequency intervals within the framework of balanced...
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Windowed linear canonical transform and its applications to the time-frequency analysis
In this paper, we prove a sharp quantitaive form of Shapiro’s mean dispersion theroem with generalized dispersion for the windowed linear canonical...
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