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 New Result on Generalized Absolute Cesàro Summability
In [4], a main theorem dealing with an application of almost increasing sequences, has been proved. In this paper, we have extended that theorem by using a general class of quasi power increasing sequences, which is a wider class of sequences, instead of
Hüseyin Bor, Ram N. Mohapatra
doaj +2 more sources
Matrix Transformation between Geometric Difference Sequence Spaces [PDF]
The aim of this paper is to determine matrix transformation between geometric difference sequence ...
, Khirod Boruah
core +2 more sources
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
Matrix transformations of summability and absolute summability fields of matrix methods : abstract of the investigations presented to obtain the academic degree of a Doctor of Mathematics [PDF]
http://www.ester.ee/record=b4294289 ...
Aasma, Ants
core
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
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
UEG Week 2022 Poster Presentations
United European Gastroenterology Journal, Volume 10, Issue S8, Page 473-1092, October 2022.
wiley +1 more source
a.e. Convergence of N\"orlund means with respect to Vilenkin systems of integrable functions
In this paper we derive converge of N\"orlund means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points.
Baramidze, Davit +2 more
core
Large sums of high‐order characters
Abstract Let χ$\chi$ be a primitive character modulo a prime q$q$, and let δ>0$\delta > 0$. It has previously been observed that if χ$\chi$ has large order d⩾d0(δ)$d \geqslant d_0(\delta)$ then χ(n)≠1$\chi (n) \ne 1$ for some n⩽qδ$n \leqslant q^{\delta}$, in analogy with Vinogradov's conjecture on quadratic non‐residues.
Alexander P. Mangerel
wiley +1 more source

