Geometric Counting on Wavefront Real Spherical Spaces

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Research output: Contribution to journalArticlepeer-review


We provide Lp-versus L-bounds for eigenfunctions on a real spherical space Z of wavefront type. It is shown that these bounds imply a non-trivial error term estimate for lattice counting on Z. The paper also serves as an introduction to geometric counting on spaces of the mentioned type.

Original languageAmerican English
Pages (from-to)488-531
Number of pages44
JournalActa Mathematica Sinica, English Series
Issue number3
StatePublished - 1 Mar 2018


  • Homogeneous spaces
  • error term
  • lattice counting
  • norm comparison of eigenfunctions
  • real spherical spaces
  • spectral analysis
  • wavefront lemma

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • General Mathematics


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