On The Range Of The Attenuated Radon Transform In Strictly Convex Sets

Keywords

A-analytic maps; Attenuated Radon transform; Hilbert transform

Abstract

We present new necessary and sufficient conditions for a function on ∂Ω × S1 to be in the range of the attenuated Radon transform of a sufficiently smooth function support in the convex set Ω ⊂ R2. The approach is based on an explicit Hilbert transform associated with traces on the boundary of A-analytic functions in the sense of Bukhgeim.

Publication Date

1-1-2015

Publication Title

Transactions of the American Mathematical Society

Volume

367

Issue

8

Number of Pages

5375-5398

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9947-2014-06307-1

Socpus ID

84929429238 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84929429238

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