Authors
Citation
Vp. Palamodov, Reconstruction from limited data of arc means, J FOURIER A, 6(1), 2000, pp. 25-42
Citations number
20
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
ISSN journal
10695869
→ ACNP
Volume
6
Issue
1
Year of publication
2000
Pages
25 - 42
Database
ISI
SICI code
1069-5869(2000)6:1<25:RFLDOA>2.0.ZU;2-G
Abstract
Let f be a function in a Euclidean plane with compact support in a half dis
c H. The problem of reconstruction of the function from the data of its int
egrals over half circles A subset of H with centers at the diameter of H is
studied. An explicit formula and a microlocal analysis of stability of the
reconstruction are given.