THE FUNCTIONAL-ANALYSIS OF THE X-RAY TRANSFORM ON TREES

被引：19

作者：

COHEN, JM ^{[1
]}

COLONNA, F ^{[1
]}

机构：

[1] GEORGE MASON UNIV,FAIRFAX,VA 22030

来源：

ADVANCES IN APPLIED MATHEMATICS | 1993年 / 14卷 / 01期

关键词：

D O I：

10.1006/aama.1993.1007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The X-ray transform plays an important role in the integral geometry of trees. It transforms functions on the vertices into functions on the geodesics. In (Casadio Tarabusi, Cohen, and Picardello, Adv. in Math., to appear) a precise description of the domain and range of the X-ray transform was given. In this work we construct and analyze subsets of these function spaces which have a Banach space structure and on which the X-ray transform acts as an isometry. Questions concerning continuity on the space of geodesics are also studied. © 1993 Academic Press, Inc.

引用

页码：123 / 138

页数：16