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Localization and Perturbation of Zeros of Entire Functions (Hardcover) Loot Price: R6,549
Discovery Miles 65 490
Localization and Perturbation of Zeros of Entire Functions (Hardcover): Michael Gil

Localization and Perturbation of Zeros of Entire Functions (Hardcover)

Michael Gil

Series: Lecture Notes in Pure and Applied Mathematics

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Loot Price R6,549 Discovery Miles 65 490 | Repayment Terms: R614 pm x 12*

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One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new approach to the investigation of entire functions based on recent estimates for the resolvents of compact operators.

After presenting results about finite matrices and the spectral theory of compact operators in a Hilbert space, the book covers the basic concepts and classical theorems of the theory of entire functions. It discusses various inequalities for the zeros of polynomials, inequalities for the counting function of the zeros, and the variations of the zeros of finite-order entire functions under perturbations. The text then develops the perturbation results in the case of entire functions whose order is less than two, presents results on exponential-type entire functions, and obtains explicit bounds for the zeros of quasipolynomials. The author also offers additional results on the zeros of entire functions and explores polynomials with matrix coefficients, before concluding with entire matrix-valued functions.

This work is one of the first to systematically take the operator approach to the theory of analytic functions.

General

Imprint: Taylor & Francis
Country of origin: United States
Series: Lecture Notes in Pure and Applied Mathematics
Release date: December 2009
First published: November 2009
Authors: Michael Gil
Dimensions: 234 x 156 x 22mm (L x W x T)
Format: Hardcover
Pages: 316
ISBN-13: 978-1-4398-0032-4
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN: 1-4398-0032-4
Barcode: 9781439800324

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