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Introduction to the theory of entire functions of several variables by L. I. Ronkin

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Published by American Mathematical Society in Providence, R.I .
Written in English

Subjects:

  • Functions, Entire.,
  • Functions of several complex variables.,
  • Harmonic functions.

Book details:

Edition Notes

Statementby L. I. Ronkin. [Translated from the Russian by Israel Program for Scientific Translations]
SeriesTranslations of mathematical monographs,, v. 44
Classifications
LC ClassificationsQA353.E5 R5713
The Physical Object
Paginationvi, 273 p.
Number of Pages273
ID Numbers
Open LibraryOL5050779M
ISBN 100821815946
LC Control Number74012068

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functions and mapping of several complex variables and prove the n-dimensional h-out this book n,m denote natural numbers (including zero). The set of strictly positive naturals will be denoted by N +, the set of strictly positive reals by R +. I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen­ dence, or approximation. The theory of functions of several complex variables is the branch of mathematics dealing with complex-valued functions (,, ,)on the space C n of n-tuples of complex numbers. As in complex analysis, which is the case n = 1 but of a distinct character, these are not just any functions: they are supposed to be holomorphic or complex analytic, so that locally speaking they are power series in. Title (HTML): Introduction to the Theory of Entire Functions of Several Variables Author(s) (Product display): L. I. Ronkin Book Series Name: Translations of Mathematical Monographs.

Introduction to Holomorphic Functions of Several Variables, Volume I: Function Theory 1st Edition by R.C. Gunning (Author) › Visit Amazon's R.C. Gunning Page. Find all the books, read about the author, and more. See search results for this author. Are you an author? Cited by: 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 Cited by: AN INTRODUCTION TO FUNCTIONS OF SEVERAL REAL VARIABLES By way of a brief review of some ideas introduced in Chapter 2 and 3 of these notes, recall that once we agree that our variables may be either scalars (numbers) or vectors, the traditional notation, f (x), now has four interpretations. They are: Case (1) was handled as Part 1 of this course. The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g. fluids). This text provides an introduction to the ideas that are met at university: complex functions, differentiability, integration theorems, with /5(11).

About this book Introduction We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is. In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables. An Introduction to Probability and Mathematical Statistics provides information pertinent to the fundamental aspects of probability and mathematical statistics. This book covers a variety of topics, including random variables, probability distributions, discrete distributions, and point estimation. The Calculus of Several Variables Robert C. Rogers Septem Introduction This book is about the calculus of functions whose domain or range or both are Elementary calculations on real-valued functions of two or three variables such as partial di erentiation, integration, and basic Size: 1MB.