Results 231 to 240 of about 1,340 (266)
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Convergence generated by analytic functionals, and isomorphism of algebras of analytic functions
Ukrainian Mathematical Journal, 1989See the review in Zbl 0663.46038.
Yu I Petunin
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Generalization of analytic functions
Applied Mathematics and Computation, 2011Abstract The concept of analyticity for complex functions on time scale complex plane was introduced by Bohner and Guseinov in 2005. They developed completely delta differentiability, delta analytic functions on products of two time scales, and Cauchy–Riemann equations for delta case.
Sinan Kapçak, Ünal Ufuktepe
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Computability of Analytic Functions with Analytic Machines
2009We present results concerning analytic machines, a model of real computation introduced by Hotz which extends the well known Blum, Shub and Smale machines by infinite converging computations. We use the machine model to define computability of complex analytic (i.e.
Tobias Gärtner, Günter Hotz
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Iteration of Analytic Functions
The Annals of Mathematics, 1942La solution formelle de l'equation de Schröder \(\varphi(a_1x)=f(\varphi(x))\) converge si \(\log |a_1^n-1|=O(\log n)\) pour \(n\to\infty\) où \(f(z)=a_1z+\dots\).
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ON THE APPROXIMATIONS TO ANALYTIC FUNCTIONS
1994Summary: We prove a theorem which shows that the uniqueness problem for entire functions of exponential type is equivalent to the approximation problem for analytic functions. This theorem is then combined with theorems on uniqueness to produce a number of results on the approximation of analytic functions.
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On the Recovery of Analytic Functions
Canadian Journal of Mathematics, 1996AbstractIn this paper we consider questions of recapturing an analytic function in a Banach space from its values on a uniqueness set. The principal method is to use reproducing kernels to construct a sequence in the Banach space which converges in norm to the given functions.
Cima, Joseph A., Stessin, Michael
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2011
In this lecture, we shall first prove Theorem 6.5 and then through simple examples demonstrate how easily this result can be used to check the analyticity of functions. We shall also show that the real and imaginary parts of an analytic function are solutions of the Laplace equation.
Ravi P. Agarwal +2 more
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In this lecture, we shall first prove Theorem 6.5 and then through simple examples demonstrate how easily this result can be used to check the analyticity of functions. We shall also show that the real and imaginary parts of an analytic function are solutions of the Laplace equation.
Ravi P. Agarwal +2 more
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Analyticity of Wightman Functions
Journal of Mathematical Physics, 1961The problem of mapping certain domains in the space of complex four-vectors onto the space of their inner products is solved by a novel method. The ``primitive'' domains of regularity of the three and four point Wightman functions are determined. The domains whose X-space characterization was obtained by Streater, for the holomorphy envelope of the ...
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On the Modulii of Analytic Functions
Canadian Mathematical Bulletin, 1970The problem to be considered in this note, in its most concrete form, is the determination of all quartets f1, f2, g1, g2 of functions analytic on some domain and satisfying*where p > 0. When p = 2 the question can be reformulated in terms of finding a necessary and sufficient condition for (two-dimensional) Hilbert space valued analytic functions ...
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Analytics of trigger functions
Automatic Control and Computer Sciences, 2009The construction and analysis of trigger circuits as asynchronous elements of sequential logic are considered. The study is performed for a generalized model based on a trigger function, which is represented in analytical form and structured so as to ensure the possibility of constructing trigger circuits with preset characteristics.
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