Results 11 to 20 of about 637,479 (268)
On the restriction of the Fourier transform to polynomial curves [PDF]
, 2007 We prove a Fourier restriction theorem on curves parametrised by the mapping P(t) = (P1(t),..., Pn(t)), where each of the P1,..., Pn is a real-valued polynomial and t belongs to an interval on which each of the P1,..., Pn "resembles" a ...
Dendrinos, S.
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Homogeneous Fourier Multipliers in the Plane [PDF]
Proceedings of the American Mathematical Society, 1991 Given a homogeneous of degree zero function on the plane, we study conditions on the first derivative of its restriction to the unit circle in order to deduce that it is an L
Duoandikoetxea, Javier, Moyua, Adela
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On Radial and Conical Fourier Multipliers [PDF]
Journal of Geometric Analysis, 2010 We investigate connections between radial Fourier multipliers on $R^d$ and certain conical Fourier multipliers on $R^{d+1}$. As an application we obtain a new weak type endpoint bound for the Bochner-Riesz multipliers associated to the light cone in $R^{d+1}$, where $d\ge 4$, and results on characterizations of $L^p\to L^{p,ν}$ inequalities for ...
Heo, Yaryong +2 more
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Optimisation of multiplier-less FIR filter design techniques [PDF]
This thesis is concerned with the design of multiplier-less (ML) finite impulse response (FIR) digital filters. The use of multiplier-less digital filters results in simplified filtering structures, better throughput rates and higher speed.
Cemes, Radovan
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Fourier Multipliers and Dirac Operators [PDF]
Advances in Applied Clifford Algebras, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nolder, Craig A., Wang, Guanghong
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Uncertainty Principles for Fourier Multipliers [PDF]
Journal of Fourier Analysis and Applications, 2020 The admittable Sobolev regularity is quantified for a function, $w$, which has a zero in the $d$--dimensional torus and whose reciprocal $u=1/w$ is a $(p,q)$--multiplier. Several aspects of this problem are addressed, including zero--sets of positive Hausdorff dimension, matrix valued Fourier multipliers, and non--symmetric versions of Sobolev ...
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Fourier Multipliers on Lipschitz Curves [PDF]
Transactions of the American Mathematical Society, 1992 We develop the theory of Fourier multipliers acting on L p
McIntosh, Alan, Qian, Tao
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Linear Peridynamics Fourier Multipliers and Eigenvalues
Journal of Peridynamics and Nonlocal Modeling, 2023 A characterization for the Fourier multipliers and eigenvalues of linear peridynamic operators is provided. The analysis is presented for state-based peridynamic operators for isotropic homogeneous media in any spatial dimension. We provide explicit formulas for the eigenvalues in terms of the space dimension, the nonlocal parameters, and the material ...
Bacim Alali, Nathan Albin
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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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Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
Banach Journal of Mathematical Analysis, 2021 The authors continue their study of Banach algebras of Fourier multipliers published in a series of recent papers [\textit{A. Karlovich} and \textit{E. Shargorodsky}, Integral Equations Oper. Theory 93, No. 2, Paper No. 16, 24 p. (2021; Zbl 1477.47095); \textit{A. Karlovich}, Stud. Math. 254, No. 2, 149--178 (2020; Zbl 1469.43005); \textit{C.
Cláudio A. Fernandes +2 more
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