Results 41 to 50 of about 710,122 (376)
A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space
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
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Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces
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
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Topological transitivity of translation operators in a non-separable Hilbert space
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
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Exact spin correlators of integrable quantum circuits from algebraic geometry
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
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Normal and self-adjoint composition operators on the space of analytic functions
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
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On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces [PDF]
We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this family.
Alpay, Daniel +3 more
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Analytic Dirac approximation for real linear algebraic groups
For a real linear algebraic group G let A(G) be the algebra of analytic vectors for the left regular representation of G on the space of superexponentially decreasing functions. We present an explicit Dirac sequence in A(G).
Lienau, Christoph
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ABSTRACT Introduction Adolescent siblings of children with cancer are at elevated risk for psychosocial problems. Unfortunately, various barriers such as limited family time and resources, conflicting schedules, and psychosocial staffing constraints at cancer centers hinder sibling access to support.
Christina M. Amaro +10 more
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Newton spaces of analytic functions
If p is a positive Bore1 measure on the closed disk D and: (S2’) For each polynomial p and each w in D, 1 p(w)]” < E(w) s / p i2 dp for some function E(w) bounded on compact subsets of D, then Ha(p), the closure in LB(p) of the polynomials, is a space of analytic functions in D which satisfies (Sl), (S2), (S3), and the operator M,:F(z) + J an ...
Kay, E, Trutt, D
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Polynomial Growth Harmonic Functions on Finitely Generated Abelian Groups
In the present paper, we develop geometric analytic techniques on Cayley graphs of finitely generated abelian groups to study the polynomial growth harmonic functions.
B Hua +48 more
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