Discrete analytic functions of exponential growth
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Analogues of classical representation formulas for entire functions of exponential type are proved in the class of discrete analytic functions as mentioned in this paper, which is a generalization of the classical representation formula for functions of the exponential type.Abstract:
Analogues of classical representation formulas for entire functions of exponential type are proved in the class of discrete analytic functions.read more
Citations
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Journal ArticleDOI
Real and Complex Analysis. By W. Rudin. Pp. 412. 84s. 1966. (McGraw-Hill, New York.)
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Journal ArticleDOI
Discrete Complex Analysis in Split Quaternions
Guangbin Ren,Zeping Zhu +1 more
TL;DR: In this paper, the Taylor series of a discrete holomorphic function is shown to converge to itself in the whole grid in the setting of a new kind of discrete holomorph function on the square grid with values in split quaternions.
References
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Book
Real and complex analysis
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Book
Introduction to functional analysis
Angus E. Taylor,P. J. Davis +1 more
TL;DR: The second edition of the paper this paper incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analytically oriented courses in this paper.
Book
Analytic functions of several complex variables
Robert C. Gunning,Hugo Rossi +1 more
TL;DR: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century after initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable as discussed by the authors.
Book
Analytic functions of several complex variables
Carl Ludwig Siegel,P. T. Bateman +1 more
TL;DR: In this article, the authors discuss the properties of holomorphic functions of complex vectors in more detail, including their properties with respect to their properties in the context of complex vector models.
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