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Localization and Perturbation of Zeros of Entire Functions
By Michael Gil'
0 - Default Title
Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
318
Release Date:
2017-07-21
Publication Date:
2017-06-07
Publisher:
Chapman and Hall/CRC
Languages:
Original:
English
ISBN10:
1138116785
ISBN13:
9781138116788
GPSR Manufacturer Reference:
Weight:
485 g
Height:
156 cm
Width:
234 cm
Thickness:
17 cm
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