Approximation of analytic functions of exponential derived and integral bases in Fréchet spaces [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2022 The purpose of this paper is to establish some theorems on the representation of analytic functions by exponential derived bases (EDBs) and exponential integral bases (EIBs) in Fréchet spaces.
Gamal Hassan, Amira Atta
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Approximation Of Analytic Functions By Rational Functions In Banach Spaces [PDF]
, 2015 [No abstract available]562251264Alexander, Analytic Functions on Banach Spaces (1968) Doctoral dissertation, , Univ. of California, BerkeleyAron, Schottenloher, Compact holomorphic mappings on Banach spaces and the approximation property (1976) J. Funct.
Matos M.C.
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Approximation of entire functions of slow growth on compact sets [PDF]
, 1981 summary:In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of ...
Kapoor, G.P. +3 more
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A Restarted Lanczos Approximation to Functions of a Symmetric Matrix [PDF]
, 2010 In this paper, we investigate a method for\ud restarting the Lanczos method for approximating the matrix-vector\ud product *f(A)b*, where *A ∈ ℝn×n* is a\ud symmetric matrix.
Simpson, Daniel P. +2 more
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On approximation of homomorphisms of algebras of entire functions on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2019 It is known due to R. Aron, B. Cole and T. Gamelin that every complex homomorphism of the algebra of entire functions of bounded type on a Banach space $X$ can be approximated in some sense by a net of point valued homomorphism. In this paper we consider
H.M. Pryimak
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The Approximation Property For Spaces For Holomorphic Functions On Infinite-dimensional Spaces I [PDF]
, 2015 For an open subset U of a locally convex space E, let (H(U), τ0) denote the vector space of all holomorphic functions on U, with the compact-open topology.
Mujica J., Dineen S.
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Approximation of analytic functions by repeated de la Vallee Poussin sums [PDF]
Компьютерные исследования и моделирование, 2019 The paper deals with the problems of approximation of periodic functions of high smoothness by arithmetic means of Fourier sums. The simplest and natural example of a linear process of approximation of continuous periodic functions of a real variable is ...
Olga G Rovenska
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Approximation of analytic functions on compact sets and Bernstein’s inequality [PDF]
, 1974 The characterization of analytic functions defined on a compact set K in R N {{\mathbf {R}}_N} by their polynomial approximation is possible if and only if ...
M. S. Baouendi, C. Goulaouic
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On equisingular approximation of plurisubharmonic functions [PDF]
, 2023 It is a natural question to ask which plurisubharmonic functions admit a 'nice' approximation in the sense of a decreasing equisingular approximation with analytic singularities.
An, Jongbong, Hoseob Seo
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APPROXIMATION BY BOUNDARY VALUES OF ANALYTIC FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences, 1954 \( D \) is a finite multiply connected domain in the complex plane, bounded by a finite system \( C \) of rectifiable curves. \( L^{k}=L^{k}(C), k \geq 1 \), is the space of (equivalence classes of) complex valued functions \( f(z), L^{k} \)-integrable on \( C \), with norm \( \|f\|_{k}=\int_{C}|f|^{k}|d z|\).
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