THE RADON-TRANSFORM IS AN ISOMORPHISM BETWEEN L(2)(B-A) AND H-E(Z(A))

被引：4

作者：

RAMM, AG ^{[1
]}

机构：

[1] KANSAS STATE UNIV AGR & APPL SCI,DEPT MATH,MANHATTAN,KS 66506

来源：

APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 01期

关键词：

RADON TRANSFORM; ISOMORPHISM; RANGE OF THE RADON TRANSFORM;

D O I：

10.1016/0893-9659(94)00105-L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that the radon transform R is an isomorphism between X := L(2)(B-a) and Y := H-e(Z(a)), where B-a is the-ball of radius a centered at the origin in R(n), n greater than or equal to 2, and Z(a) := S-n-1 x [-a,a], S-n-1 is the unit sphere in R(n), and H-e(Z(a)) is the space of even functions g(alpha,p) which vanish at p = +/-a, satisfy the moment conditions,and have finite norm (integral(Sn-1) integral(-infinity)(infinity) \Fg\ (1 + lambda(2))((n-1)/2) d lambda d alpha)(1/2) := \g\ < infinity.

引用

页码：25 / 29

页数：5