New range theorems for the dual Radon transform

    Authors

    A. Katsevich

    Comments

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    Abbreviated Journal Title

    Trans. Am. Math. Soc.

    Keywords

    dual Radon transform; range theorems; asymptotic expansions; SPACE; Mathematics

    Abstract

    Three new range theorems are established for the dual Radon R*: on C(infinity) functions that do not decay fast at infinity (and admit an asymptotic expansion), on S (Z(n)), and on C(0)(infinity)(Z(n)). Here Z(n) := S(n-1) x R, and R* acts on even functions mu(alpha, p) = mu(alpha, p); (alpha, p) is an element of Z(n).

    Journal Title

    Transactions of the American Mathematical Society

    Volume

    353

    Issue/Number

    3

    Publication Date

    1-1-2001

    Document Type

    Article

    Language

    English

    First Page

    1089

    Last Page

    1102

    WOS Identifier

    WOS:000165845700011

    ISSN

    0002-9947

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