QUADRATIC FOURIER TRANSFORMS

被引：47

作者：

Castro, L. P. ^{[1
]}

Haque, M. R. ^{[2
]}

Murshed, M. M. ^{[2
]}

Saitoh, S. ^{[1
]}

Tuan, N. M. ^{[3
]}

机构：

[1] Univ Aveiro, Ctr R&D Math & Applicat, Dept Math, P-3810193 Aveiro, Portugal

[2] Rajshahi Univ, Dept Math, Rajshahi 6205, Bangladesh

[3] Viet Nam Natl Univ, Coll Educ, Dept Math, Hanoi, Vietnam

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2014年 / 5卷 / 01期

关键词：

Fourier transform; quadratic Fourier transform; reproducing kernel; Bergman-Selberg space; analytic extension formula; PLUS HANKEL-OPERATORS; INVERTIBILITY; DIFFRACTION;

D O I：

10.15352/afa/1391614564

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we shall examine the quadratic Fourier transform which is introduced by the generalized quadratic function for one order parameter in the ordinary Fourier transform. This will be done by analyzing corresponding six subcases of the quadratic Fourier transform within a reproducing kernel Hilbert spaces framework.

引用

页码：10 / 23

页数：14

共 23 条

[1]

Ando T, 2008, BANACH J MATH ANAL, V2, P1

[2]

[Anonymous], 2000, TRANSFORMS APPL HDB

[3]

[Anonymous], MATH SCI REFERENCE S

[4] Invertibility properties of matrix Wiener-Hopf plus Hankel integral operators [J].

Bogveradze, G. ;

Castro, L. P. .

MATHEMATICAL MODELLING AND ANALYSIS, 2008, 13 (01) :7-16

[5]

Bogveradze G, 2009, BANACH J MATH ANAL, V3, P1

[6]

BYUN DW, 1992, COMPLEX VARIABLES, V20, P13

[7] Dirichlet-Neumann-Impedance boundary value problems arising in rectangular wedge diffraction problems [J].

Castro, L. P. ;

Kapanadze, D. .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (06) :2113-2123

[8] Optimal and Approximate Solutions of Singular Integral Equations by Means of Reproducing Kernels [J].

Castro, L. P. ;

Saitoh, S. .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (06) :1839-1851

[9]

Castro LP, 2009, Z ANAL ANWEND, V28, P119

[10]

Castro L.P., SURVEYS PUR IN PRESS

← 1 2 3 →