Reconstruction from limited data of arc means

V. P. Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


Let f be a function in a Euclidean plane with compact support in a half disc H. The problem of reconstruction of the function from the data of its integrals over half circles A ⊂ H with centers at the diameter of H is studied. An explicit formula and a microlocal analysis of stability of the reconstruction are given.

Original languageEnglish
Pages (from-to)25-42
Number of pages18
JournalJournal of Fourier Analysis and Applications
Issue number1
StatePublished - 2000


  • Arc mean transform
  • Audible zone
  • Energy
  • Factorization property
  • Interpolation
  • Microlocal estimate
  • Plancherel-type theorem
  • Reconstruction


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