Results 11 to 20 of about 62,545 (283)
Stable sampling and Fourier multipliers [PDF]
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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Best multiplier Approximation in L_(p,∅_n ) (B)
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
doaj +1 more source
Smoothness of functions versus smoothness of approximation processes
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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On Integral Operators with Operator Valued Kernels [PDF]
Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.Comment: 9 ...
Shahmurov, Rishad
core +3 more sources
Uncertainty Principles for Fourier Multipliers [PDF]
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 ...
openaire +3 more sources
Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators
The multilinear Fourier multipliers and their commutators with Sobolev regularity are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn).
Songbai Wang, Yinsheng Jiang, Peng Li
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DESIGN OF FFT ARCHITECTURE USING KOGGE STONE ADDER
An efficient Fast Fourier Transform (FFT) algorithm is used in the Orthogonal Frequency Division Multiplexing (OFDM) applications in order to compute the discrete Fourier transform.
Rambabu Nusullapalli, Vaishnavi N
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Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces
We refine the decay estimate of the heat semigroup {T(t)}t≥0defined on homogeneous Besov spaces Ḃp,qs(Rn)for s∈R,p,q∈[1,∞], which is obtained by Kozono et al. (2003).
Taiki Takeuchi
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Some Weighted Estimates for Multilinear Fourier Multiplier Operators
We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using Lr-based Sobolev spaces ...
Zengyan Si
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The multipliers of multiple trigonometric Fourier series
We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier
Ydyrys Aizhan +2 more
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