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Entire Functions

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Book cover Several Complex Variables III

Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 9))

Abstract

We consider the basic problems, notions and facts in the theory of entire functions of several variables, i.e. functions f (z) holomorphic in the entire space ℂn (i.e. f∈H(ℂn). Such functions constitute an independent object of study and are often encountered in applications of complex analysis to other branches of mathematics. For instance, entire functions of several variables are widely used in the theory of linear p.d.e. [8], [32], in the theory of convolution equations [31], in the theory of distributions [12], [51], in probability theory [26]. There are also numerous applications of entire functions of several variables in various branches of physics.

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Authors
  1. L. I. Ronkin
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Editors and Affiliations

  1. Central Economic and Mathematical Institute, Academy of Sciences of the USSR, ul. Kravisoka 32, 117418, Moscow, USSR

    G. M. Khenkin

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Ronkin, L.I. (1989). Entire Functions. In: Khenkin, G.M. (eds) Several Complex Variables III. Encyclopaedia of Mathematical Sciences, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61308-1_1

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  • DOI: https://doi.org/10.1007/978-3-642-61308-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64785-7

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