Results 11 to 20 of about 3,408 (306)
Fourier multipliers and transfer operators [PDF]
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2021 A recent paper of Chen and Volkmer estimated a quantity related to the spectral radius of a transfer operator and with significance in the study of Fourier multipliers. We provide a rigorous proof of their conjectured numerical value.
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Duke Mathematical Journal, 2022 We establish precise regularity conditions for Lp-boundedness of Fourier multipliers in the group algebra of SLn.R/. Our main result is inspired by the Hörmander¿ Mikhlin criterion from classical harmonic analysis, although it is substantially and necessarily different.
Parcet, Javier +2 more
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Stable sampling and Fourier multipliers [PDF]
Publicacions Matemàtiques, 2014 We study the relationship between stable sampling sequences for bandlimited functions in $L^p(\R^n)$ and the Fourier multipliers in $L^p$. In the case that the sequence is a lattice and the spectrum is a fundamental domain for the lattice the connection is complete. In the case of irregular sequences there is still a partial relationship.
Matei, Basarab +2 more
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The dimension-free estimate for the truncated maximal operator
Open Mathematics, 2022 We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
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Fourier multipliers on graded Lie groups [PDF]
Colloquium Mathematicum, 2021 23 ...
Michael Ruzhansky +2 more
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Advanced Materials Interfaces, EarlyView., 2023 This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi +4 more
wiley +1 more source
Equivalent Characterization on Besov Space
Abstract and Applied Analysis, 2021 In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm.
Cong He, Jingchun Chen
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Lévy processes and Fourier multipliers [PDF]
Journal of Functional Analysis, 2007 AbstractWe study Fourier multipliers which result from modulating jumps of Lévy processes.
Rodrigo Bañuelos, Krzysztof Bogdan
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Best multiplier Approximation in L_(p,∅_n ) (B)
Al-Mustansiriyah Journal of Science, 2019 The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy +2 more
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Smoothness of functions versus smoothness of approximation processes
Bulletin of Mathematical Sciences, 2020 We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes.
Yu. S. Kolomoitsev, S. Yu. Tikhonov
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