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Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation
Exl L, Schaffer S.
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The Parameter-Optimized Recursive Sliding Variational Mode Decomposition Algorithm and Its Application in Sensor Signal Processing. [PDF]
Sensors (Basel)Liu Y, He W, Pan T, Qin S, Ruan Z, Li X.
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Complementary Polynomials in Quantum Signal Processing. [PDF]
Commun Math PhysBerntson BK, Sünderhauf C.
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Multipliers of double Fourier–Haar series
Advances in Operator Theory, 2021This paper is concerned with multiplier transformations for Fourier-Haar series. In the one-dimensional setting, the Fourier-Haar series of a function \(f\in L^1([0,1])\) is given by \[ f(x) \sim \sum_{n=1}^\infty a_n(f) \chi_n(x), \] where \(\{a_n(f)\}_{n\geq 1}\) is the Fourier-Haar coefficient of \(f\) and \(\{ \chi_n \}_{n\geq 1}\) is the Haar ...
N. T. Tleukhanova +2 more
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1997
In this section we investigate multipliers with respect to the H.s. A sequence λ n , k , (n, k) ∈ Ω generates the operator $$ \Lambda (\sum\limits_{(n,k) \in \Omega } {{a_{n,k}}x_n^k} ) = \sum {{\lambda _{n,k}}{c_{n,k}}x_n^k} $$ (1) on the polynomials with respect to the H.s. Such operators are said to be multipliers.
Igor Novikov, Evgenij Semenov
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In this section we investigate multipliers with respect to the H.s. A sequence λ n , k , (n, k) ∈ Ω generates the operator $$ \Lambda (\sum\limits_{(n,k) \in \Omega } {{a_{n,k}}x_n^k} ) = \sum {{\lambda _{n,k}}{c_{n,k}}x_n^k} $$ (1) on the polynomials with respect to the H.s. Such operators are said to be multipliers.
Igor Novikov, Evgenij Semenov
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Fourier Multipliers for Besicovitch Spaces
Zeitschrift für Analysis und ihre Anwendungen, 1998In this paper a generalization of some results from Fourier analysis on periodic function spaces to the almost periodic case is given. We consider almost periodic distributions which constitute a subclass of tempered distributions. Under suitable conditions on the spectrum \Lambda \subset \
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Remarks on Walsh--Fourier multipliers
Publicationes Mathematicae Debrecen, 1998The author investigates special multiplier operators for one- and two-parameter Walsh-Paley systems. These multipliers were defined and partly investigated - with respect to their boundedness from \(H^p\) to \(L^p\) (for some \(p>0\)) - by the author [Acta Sci. Math. 64, No. 1-2, 183-200 (1998; preceding review) and Colloq. Math. 77, No. 1, 9-31 (1998;
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Construction of Fourier multipliers
Bulletin of the Australian Mathematical Society, 1977The classical Wiener-Pitt phenomenon for measures may be formulated as an existence theorem for Fourier multipliers with irregular, spectral properties and the result has been refined in various ways over the years. The most recent development is due to Zafran, who exhibits abnormal spectral behaviour in multipliers whose transforms vanish at infinity ...
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Multipliers of Fourier Transforms
2002In this chapter weighted Triebel-Lizorkin spaces are defined in a general settiing. The two-weighted criteria for fractional and singular integrals derived in the previous chapters enable us to develop a new approach to the theory of multipliers of Fourier transforms.
David E. Edmunds +2 more
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