Results 11 to 20 of about 47,643 (302)
Banach spaces of functions analytic in a polydisc [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 This paper is concerned with functions of several complex variables analytic in the unit polydisc. Certain Banach spaces to which these functions might belong are defined and some relationships between them are developed.
Leon M. Hall
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On bidual bases in the space of symmetric analytic functions on $ell_{1}$
Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider a special Hilbert space of symmetric analytic functions on$ell_1$ and construct a pair of bidual bases of polynomials.}{Hilbert space, symmetricanalytic functions, bidual ...
O. M. Holubchak, A. V. Zagorodnyuk
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Strong boundedness of analytic functions in tubes [PDF]
International Journal of Mathematics and Mathematical Sciences, 1979 Certain classes of analytic functions in tube domains TC=ℝn+iC in n-dimensional complex space, where C is an open connected cone in ℝn, are studied. We show that the functions have a boundedness property in the strong topology of the space of tempered ...
Richard D. Carmichael
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Joint discrete approximation of analytic functions by Hurwitz zeta-functions
Mathematical Modelling and Analysis, 2022 Let H(D) be the space of analytic functions on the strip . In this paper, it is proved that there exists a closed non-empty set such that every collection of the functions is approximated by discrete shifts , of Hurwitz zeta-functions with arbitrary ...
Aidas Balčiūnas +4 more
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Normal and self-adjoint composition operators on the space of analytic functions
Karpatsʹkì Matematičnì Publìkacìï, 2009 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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A study of analytic functions along with Poisson distribution
Applied Mathematics in Science and EngineeringIn this paper, we introduce some new families of analytic functions by using Hadamard product while keeping conic like domains in view. Like the area theorem, we determine sufficient conditions as well as characterizations of these functions. Furthermore,
Muhammad Ashfaq +3 more
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Some Sufficient Conditions for Analytic Functions to Belong to 𝒬𝐾,0(𝑝,𝑞) Space
Abstract and Applied Analysis, 2008 This paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions 𝑓 on the unit disk such lim|𝑎|→1∫𝔻|𝑓(𝑧)|𝑝(1−|𝑧|2)𝑞𝐾(𝑔(𝑧,𝑎))𝑑𝐴(𝑧)=0.
Xiaoge Meng
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A note on approximation of continuous functions on normed spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
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A Functional Analytic Description of Normal Spaces [PDF]
Canadian Journal of Mathematics, 1972 Throughout the paper, X will denote a completely regular (Hausdorff) topological space and C(X) the R-algebra of all real-valued continuous functions on X. When this algebra carries the continuous convergence structure [1], we write CC(X). We note that CC(X)is a complete [5] convergence R-algebra [1].Our description of normality reads as follows.
Binz, Ernst, Feldman, Wilhelm
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Milnor number equals Tjurina number for functions on space curves [PDF]
, 2001 The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved.
David Mond +3 more
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