Focal points and sup-norms of eigenfunctions II: the two-dimensional case

• Christopher D. Sogge ^[1] ; Steve Zelditch ^[2]
  1. [1] Johns Hopkins University

     Johns Hopkins University

     Estados Unidos

     
  2. [2] Northwestern University

     Northwestern University

     Township of Evanston, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 3, 2016, págs. 995-999
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We use a purely dynamical argument on circle maps to improve a result in our accompanying article, [5], on real analytic surfaces possessing eigenfunctions that achieve maximal sup norm bounds. The improved result is that there exists a ‘pole’ p so that all geodesics emanating from p are smoothly closed.