Results 41 to 50 of about 47,643 (302)

Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces

Axioms, 2020
In this paper we investigate analytic functions of unbounded type on a complex infinite dimensional Banach space X. The main question is: under which conditions is there an analytic function of unbounded type on X such that its Taylor polynomials are in ...
Andriy Zagorodnyuk, Anna Hihliuk
doaj   +1 more source

Compactness and Convergence in the Space of Analytic Functions [PDF]

, 2011
This project is a reading material in all Complex Analysis. It deals mainly with the class of Analytic Functions on an open set G. Our purpose is to describe this class of analytic functions is complete metric space with defined metric space.
Yemane, Gediyon
core   +1 more source

A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space

International Journal of Mathematics and Mathematical Sciences, 1998
The purpose of this paper is to establish the existence of analytic Wiener and Feynman integrals for a class of certain cylinder functions which is of the form: F(x)=f((h1,x)∼,⋯,(hn,x)∼),    x∈B, on the abstract Wiener space, and to establish the ...
Young Sik Kim
doaj   +1 more source

Topological transitivity of translation operators in a non-separable Hilbert space

Karpatsʹkì Matematičnì Publìkacìï, 2023
We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
doaj   +1 more source

Exact spin correlators of integrable quantum circuits from algebraic geometry

SciPost Physics
We calculate the correlation functions of strings of spin operators for integrable quantum circuits exactly. These observables can be used for the calibration of quantum simulation platforms.
Arthur Hutsalyuk, Yunfeng Jiang, Balazs Pozsgay, Hefeng Xu, Yang Zhang
doaj   +1 more source

Normal and self-adjoint composition operators on the space of analytic functions

Karpatsʹkì Matematičnì Publìkacìï, 2012
We consider spectral properties of normal composition operators and investigate some properties of self-adjoint operators on space of analytic functions on Hilbert space.
Z. G. Mozhyrovska
doaj   +1 more source

A Hankel Matrix Acting on Spaces of Analytic Functions [PDF]

Integral Equations and Operator Theory, 2017
If $μ$ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_μ$ be the Hankel matrix $\mathcal H_μ=(μ_{n, k})_{n,k\ge 0}$ with entries $μ_{n, k}=μ_{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $μ_n$ denotes the moment of order $n$ of $μ$. This matrix induces formally the operator $$\mathcal{H}_μ(f)(z)= \sum_{n=0}^{\infty}\left(\sum_{k=0}
Daniel Girela, Noel Merchán
openaire   +4 more sources

Banach Spaces of Analytic Vector-valued Functions [PDF]

, 2007
The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane.
Barclay, Steven John
core  

On a certain subclass of analytic functions defined by $q$-Sălăgean operator associated with operator on Hilbert space [PDF]

summary:Using a Hilbert space operator, we define a new subclass of analytic functions defined by $p$-valent $q$-Sălăgean operator and determine coefficient estimates, distortion bounds, radii of close-to-convexity, starlikeness, and convexity for the ...
Bulut, Serap
core   +1 more source

Efficacy and Safety Analysis of Roxarestat in Regulating Renal Anemia in Patients on Maintenance Hemodialysis

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
wiley   +1 more source