A SAMPLING THEOREM AND WINTNER RESULTS ON FOURIER COEFFICIENTS

被引：5

作者：

SCHIFF, JL

WALKER, WJ

机构：

[1] Univ of Auckland, Auckland, NZ, Univ of Auckland, Auckland, NZ

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1988年 / 133卷 / 02期

关键词：

Mathematical techniques;

D O I：

10.1016/0022-247X(88)90416-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper arises from the reconsideration, aimed towards a sampling theorem, of a book on Fourier series by A. Wintner. The idea of this book was to obtain precise formulae for the Fourier coefficients of a function from a countable set of its values on the unit circle. 9 Refs.

引用

页码：466 / 471

页数：6

共 9 条

[1]

BOAS RP, 1972, J APPROX THEORY, V5, P425, DOI DOI 10.1016/0021-9045(72)90009-3

[2]

BRUNS H, 1903, GRUNDLINIER WISSERSC

[3] REPRESENTATION FORMULA FOR HARMONIC-FUNCTIONS [J].

CHING, CH ;

CHUI, CK .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 39 (02) :349-352

[4]

Duren P., 1970, THEORY SPACES

[5]

Goluzin G. M., 1969, GEOMETRIC THEORY FUN

[6] 5 SHORT STORIES ABOUT THE CARDINAL SERIES [J].

HIGGINS, JR .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 12 (01) :45-89

[7] A SAMPLING THEOREM FOR ANALYTIC-FUNCTIONS [J].

SCHIFF, JL ;

WALKER, WJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (04) :737-740

[8]

Walsh JL., 1936, B AM MATH SOC, V42, P923, DOI [DOI 10.1090/S0002-9904-1936-06468-2, 10.1090/S0002-9904-1936-06468-2]

[9]

Wintner A., 1945, ARITHMETICAL APPROAC

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