Range characterization of the cosine transform on higher Grassmannians

Semyon Alesker*, Joseph Bernstein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


We characterize the range of the cosine transform on real Grassmannians in terms of the decomposition under the action of the special orthogonal group SO(n). We also give a geometric interpretation of this image in terms of valuations. In addition, we discuss the non-Archimedean analogues.

Original languageEnglish
Pages (from-to)367-379
Number of pages13
JournalAdvances in Mathematics
Issue number2
StatePublished - 1 Jun 2004


  • Cosine transform
  • Grassmannians
  • Radon transform


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