منابع مشابه
Weighted Norm Inequalities for Fourier Transforms of Radial Functions
Weighted L(R)→ L(R) Fourier inequalities are studied. We prove Pitt–Boas type results on integrability with general weights of the Fourier transform of a radial function.
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Under certain conditions on an integrable function P having a real-valued Fourier transform P̂ and such that P(0)=0, we obtain an estimate which describes the oscillation of P̂ in [−C‖P ′‖∞/‖P ‖∞, C‖P ′‖∞/‖P ‖∞], whereC is an absolute constant, independent of P. Given > 0 and an integrable function with a non-negative Fourier transform, this estimate allows us to construct a finite linear combina...
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Block-diagonalization of sparse equivariant discretization matrices is studied. Such matrices typically arise when partial differential equations that evolve in symmetric geometries are discretized via the finite element method or via finite differences. By considering sparse equivariant matrices as equivariant graphs, we identify a condition for when block-diagonalization via a sparse variant ...
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In this paper we shall examine the quadratic Fourier transform which is introduced by the generalized quadratic function for one order parameter in the ordinary Fourier transform. This will be done by analyzing corresponding six subcases of the quadratic Fourier transform within a reproducing kernel Hilbert spaces framework. Center for R&D in Mathematics and Applications, Department of Mathemat...
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29 O(b log(b)) operations (using standard multiplication). As there are O(b= log(b)) primes in total, the running time of this stage of the algorithm is O(b 2 L), even using the \grammar school" method of integer multiplication. At this stage of the algorithm we have obtained a vector of length L whose entries are integral linear combinations of powers of with coeecients bounded by M in absolut...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1971
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-37-3-245-276