Results 231 to 240 of about 123,456 (263)
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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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Convergence generated by analytic functionals, and isomorphism of algebras of analytic functions
Ukrainian Mathematical Journal, 1989See the review in Zbl 0663.46038.
Petunin, Yu. I., Savkin, V. I.
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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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Canadian Mathematical Bulletin, 1996
AbstractA sieve lemma is found, applicable to certain families of analytic functions on the unit disk, analogous to a large sieve lemma of P. X. Gallagher for sets of integers.
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AbstractA sieve lemma is found, applicable to certain families of analytic functions on the unit disk, analogous to a large sieve lemma of P. X. Gallagher for sets of integers.
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Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators
Journal of Mathematical Analysis and Applications, 2021I R Kayumov, Saminathan Ponnusamy
exaly