Results 41 to 50 of about 629,945 (93)
On multiplicative recurrence along linear patterns
Abstract Donoso, Le, Moreira, and Sun (J. Anal. Math. 149 (2023), 719–761) study sets of recurrence for actions of the multiplicative semigroup (N,×)$(\mathbb {N}, \times)$ and provide some sufficient conditions for sets of the form S={(an+b)/(cn+d):n∈N}$S=\lbrace (an+b)/(cn+d) \colon n \in \mathbb {N}\rbrace $ to be sets of recurrence for such actions.
Dimitrios Charamaras +2 more
wiley +1 more source
On Cesàro and Abel Summability Factors for Integrals
Many results have been obtained about factors transforming integrals summable by ordinary and absolute Cesàro methods of non-negative orders into integrals summable by such methods (see [4], [2], [6], [3]) and also into integrals summable by the ordinary
David Borwein, Brian Thorpe
core +1 more source
Some notes on matrix transforms of summability domains of Cesàro matrices [PDF]
In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if k ≤ n and mnk= 0 if k > n) to be a transform from the summability domain of the Cesàro method Cα into the summability domain of another Cesàro method Cβ ,
Aasma, Ants, Ants Aasma
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A Note on Absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ Summability Factor
A positive non-decreasing sequence has been used to establish a theorem on a minimal set of sufficient conditions for an infinite series to be absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ summable.
Smita Sonker +2 more
doaj +2 more sources
Local spectral theory for subordinated operators: The Cesàro operator and beyond
Abstract We study local spectral properties for subordinated operators arising from C0$C_0$‐semigroups. Specifically, if T=(Tt)t⩾0$\mathcal {T}=(T_t)_{t\geqslant 0}$ is a C0$C_0$‐semigroup acting boundedly on a complex Banach space and Hν=∫0∞Ttdν(t)$$\begin{equation*} \mathcal {H}_\nu = \int _{0}^{\infty } T_t\; d\nu (t) \end{equation*}$$is the ...
Eva A. Gallardo‐Gutiérrez +1 more
wiley +1 more source
A Tauberian theorem for Cesàro summability of integrals [PDF]
In this paper we give a proof of the generalized Littlewood Tauberian theorem for Cesàro summability of improper ...
Totur Ü. +5 more
core +1 more source
Regularity and asymptotics of densities of inverse subordinators
Abstract In this article, densities (and their derivatives) of subordinators and inverse subordinators are considered. Under minor restrictions, generally milder than the existing in the literature, employing a useful modification of the saddle point method, we obtain the large asymptotic behaviour of these densities (and their derivatives) for a ...
Giacomo Ascione +2 more
wiley +1 more source
On noncommutative distributional Khintchine type inequalities
Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
wiley +1 more source
Cesàro Summability of Multi-dimensional Trigonometric-Fourier Series [PDF]
Thed-dimensional classical Hardy spacesHp(Td) are introduced and it is shown that the maximal operator of the Cesàro means of a distribution is bounded fromHp(Td) toLp(Td) ((2d+1)/(2d+2)
Weisz, Ferenc
core +1 more source
Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems
Abstract Koopman operators are infinite‐dimensional operators that globally linearize nonlinear dynamical systems, making their spectral information valuable for understanding dynamics. However, Koopman operators can have continuous spectra and infinite‐dimensional invariant subspaces, making computing their spectral information a considerable ...
Matthew J. Colbrook, Alex Townsend
wiley +1 more source

