Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type
نویسندگان
چکیده
منابع مشابه
Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type
In many applications one seeks to recover an entire function of exponential type from its non-uniformly spaced samples. Whereas the mathematical theory usually addresses the question of when such a function in L2(R) can be recovered, numerical methods operate with a finite-dimensional model. The numerical reconstruction or approximation of the original function amounts to the solution of a larg...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Entire Functions of Exponential Type
it is immaterial which value of z is used in (2). If (1) holds in a region of the s-plane, for example in an angle, ƒ(z) is said to be of exponential type c in that region. Functions of exponential type have been extensively studied, both for their own sake and for their applications. I shall discuss here a selection of their properties, chosen to illustrate how the restriction (1) on the growt...
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Since this series is absolutely convergent everywhere in the plane, lanl must approach zero as n approaches infinity. Consequently, there exists for each a, an index n(a) for which lanl is a maximal coefficient. B. Lepson [3]1 raised the question of characterizing entire functions for whidi n (a) is bounded in a. 2 In the sequel we shall consider certain interesting variations of Lepson's probl...
متن کاملInequalities for Entire Functions of Exponential Type
This paper is concerned with a class of linear operators acting in the space of the trigonometric polynomials and preserving the inequalities of the form \S(8)\ < \T(8)\ in the half plane Im 8 > 0. Some inequalities for entire functions of exponential type and some theorems concerning the distribution of the zeros of the trigonometric polynomials, including an analogue to the Gauss-Lucas theore...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1999
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-99-01029-7