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Higher Riesz transforms and derivatives of the Riesz kernels
Using the Riesz transforms, derivatives of the Riesz kernels, homogeneous harmonic polynomials and derivatives of the Newton kernel, we introduce four kinds of the higher Riesz transforms. Further we study relations among them. As one of the preparations
Kurokawa, Takahide
core
Nörlund and Riesz Mean of Sequences of Fuzzy Real Numbers
Applied Mathematics Letters, 2010 In this article we study some properties of the Nörlund and Riesz mean of sequences of fuzzy real numbers. We establish necessary and sufficient conditions for the Nörlund and Riesz means to transform convergent sequences of fuzzy numbers into convergent
Binod Chandra Tripathy
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Mean-Field Limits for Some Riesz Interaction Gradient Flows [PDF]
SIAM Journal on Mathematical Analysis, 2016 International audienceThis paper is concerned with the mean-field limit for the gradient flow evolution of particle systems with pairwise Riesz interactions, as the number of particles tends to infinity.
Mitia Duerinckx
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Riesz Means on Symmetric Spaces [PDF]
Journal of Mathematical Analysis and Applications, 2021 Let $X$ be a non-compact symmetric space of dimension $n$. We prove that if $f\in L^{p}(X)$, $1\leq p\leq 2$, then the Riesz means $S_{R}^{z}\left( f\right)$ converge to $f$ almost everywhere as $R\rightarrow \infty $, whenever $\operatorname{Re}z>\left( n-\frac{1}{2}\right) \left( \frac{2}{p}-1\right) $.
Effie Papageorgiou, Anestis Fotiadis
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On Abel—Poisson Type and Riesz Means
Analysis Mathematica, 1981В работе исследуются ядра методов суммиро вания типа Абеля—Пуассона и Рис са, применяемых к кратны м интегралам Фурье. Вы ясняются условия на параметры, определяющие эти методы, при которы х их ядра неотрицател ьны. Полученные результа ты можно сформулировать в тер минах положительной определенности неко торых функций.
B I Golubov
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Bochner–Riesz Means of Morrey Functions
Journal of Fourier Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adams, David R., Xiao, Jie
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Riesz means and bilinear Riesz means on H-type groups
Journal of Geometry and PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min Wang, Yingzhan Wang
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A note on the “hyperbolic” Bochner-Riesz means
Proceedings of the American Mathematical Society, 1984We consider the L p (
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Mathematical Proceedings of the Cambridge Philosophical Society, 1968
1. For the familiar definition of (R, λn, κ), (R*, λn, κ) and (N, p) means and their notations, see, for example (3). If {fn} is any arbitrary sequence, we adopt the convention throughout that f−1 = 0. A method of absolute summability |A| is said to be ineffective if it is absolutely regular and sums only absolutely convergent sequences.
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1. For the familiar definition of (R, λn, κ), (R*, λn, κ) and (N, p) means and their notations, see, for example (3). If {fn} is any arbitrary sequence, we adopt the convention throughout that f−1 = 0. A method of absolute summability |A| is said to be ineffective if it is absolutely regular and sums only absolutely convergent sequences.
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