THE RADON-TRANSFORM ON HYPERBOLIC SPACE

被引：0

作者：

KURUSA, A ^{[1
]}

机构：

[1] BOLYAI INST,H-6720 SZEGED,HUNGARY

来源：

GEOMETRIAE DEDICATA | 1991年 / 40卷 / 03期

关键词：

RADON TRANSFORM; SPHERICAL HARMONICS; HYPERBOLIC GEOMETRY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Radon transform that integrates a function in H(n), the n-dimensional hyperbolic space, over totally geodesic submanifolds with codimension 1 and the dual Radon transform are investigated in this paper. We prove inversion formulas and an inclusion theorem for the range.

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页码：325 / 339

页数：15

相关论文

共 15 条

[1]

BERENSTEIN CA, IN PRESS DUKE MATH J

[2] THE RADON-TRANSFORM ON A FAMILY OF CURVES IN THE PLANE [J].

CORMACK, AM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 83 (02) :325-330

[3] THE RADON-TRANSFORM ON A FAMILY OF CURVES IN THE PLANE .2. [J].

CORMACK, AM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (02) :293-298

[4] A RADON-TRANSFORM ON SPHERES THROUGH THE ORIGIN IN RN AND APPLICATIONS TO THE DARBOUX EQUATION [J].

CORMACK, AM ;

QUINTO, ET .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 260 (02) :575-581

[5] GEGENBAUER TRANSFORMS VIA THE RADON TRANSFORM [J].

DEANS, SR .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1979, 10 (03) :577-585

[6] UNIFIED RADON INVERSION FORMULA [J].

DEANS, SR .

JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (11) :2346-2349

[7]

Gradshteyn I.S., 1965, TABLES OF INTEGRALS

[8] DIFFERENTIAL OPERATORS ON HOMOGENEOUS SPACES [J].

HELGASON, S .

ACTA MATHEMATICA, 1959, 102 (3-4) :239-299

[9]

Helgason S., 1980, RADON TRANSFORM

[10]

HELGASON S, 1989, CONT MATH, V0113, P00141