Bounds for spectral projectors on tori

Pierre Germain, Simon L. Rydin Myerson

Research output: Contribution to journalArticlepeer-review


We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This is closely related to the boundedness of resolvents of the Laplacian and the boundedness of norms of eigenfunctions of the Laplacian. We formulate a conjecture and partially prove it.

Original languageEnglish (US)
Article numbere24
JournalForum of Mathematics, Sigma
StatePublished - May 12 2022


  • Lp resolvent estimates
  • Spectral projectors
  • discrete restriction
  • geometry of numbers
  • l2 decoupling
  • lattice points in convex bodies

ASJC Scopus subject areas

  • Analysis
  • Theoretical Computer Science
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Mathematics


Dive into the research topics of 'Bounds for spectral projectors on tori'. Together they form a unique fingerprint.

Cite this