On the norm of the Fourier-Jacobi projection

被引：4

作者：

Levesley, J

Kushpel, AK

机构：

[1] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England

[2] Dept Math Phys & Comp Sci, Toronto, ON M5B 2K3, Canada

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2001年 / 22卷 / 7-8期

关键词：

Fourier-Jacobi projections;

D O I：

10.1081/NFA-100108316

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the results of Pollard [7] and give asymptotic estimates for the norm of the Fourier-Jacobi projection operator in the appropriate weighted L-p space.

引用

页码：941 / 952

页数：12

共 9 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS

[2]

ASKEY R, 1974, CBMS NSF REGIONAL C

[3]

Helgason S., 1962, Differential Geometry and Symmetric Spaces

[4] On the norm of the Fourier-Gegenbauer projection in weighted Lp spaces [J].

Levesley, J ;

Kushpel, AK .

CONSTRUCTIVE APPROXIMATION, 1999, 15 (03) :369-379

[5] THE MEAN CONVERGENCE OF ORTHOGONAL SERIES .3. [J].

POLLARD, H .

DUKE MATHEMATICAL JOURNAL, 1949, 16 (01) :189-191

[6] THE MEAN CONVERGENCE OF ORTHOGONAL SERIES .1. [J].

POLLARD, H .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 62 (NOV) :387-403

[7] THE MEAN CONVERGENCE OF ORTHOGONAL SERIES .2. [J].

POLLARD, H .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 63 (MAR) :355-367

[8]

SZEGO, 1959, AM MATH SOC C PUBLIC, V23

[9]

TITCHMARSH EC, 1937, FOURIER INTEGRAL

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