Piecewise linear and step Fourier multipliers for modulation spaces

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Multipliers in one variable harmonic analysis (42A45)

Cites Work

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Convolution operators on groups
Banach spaces related to integrable group representations and their atomic decompositions. I
Fourier multipliers of classical modulation spaces
On a new Segal algebra
Irregular sampling theorems and series expansions of band-limited functions
Pseudodifferential operators on ultra-modulation spaces.
Foundations of time-frequency analysis
Functions of bounded variation and their Fourier transforms
Convergence and summability of Fourier transforms and Hardy spaces
Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces
Time-frequency analysis of operators
A class of Fourier multipliers for modulation spaces
The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
Quasimeasures and operators commuting with convolution
Smooth pointwise multipliers of modulation spaces
Generalized Amalgams, With Applications to Fourier Transform
Classical Fourier Analysis
Banach Spaces of Distributions Defined by Decomposition Methods, I
Iterative Reconstruction of Multivariate Band-Limited Functions from Irregular Sampling Values
Lebesgue Points and Summability of Higher Dimensional Fourier Series
Modulation Spaces
Fourier Multipliers and Littlewood‐Paley for modulation spaces
Multipliers of 𝑝-integrable functions
An uncertainty principle related to the Poisson summation formula

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