• Title of article

    Global Hypoellipticity and Simultaneous Approximability

  • Author/Authors

    Himonas، نويسنده , , A.Alexandrou and Petronilho، نويسنده , , Gerson، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2000
  • Pages
    10
  • From page
    356
  • To page
    365
  • Abstract
    A necessary and sufficient condition is given for a sum of squares operator to be globally hypoelliptic on an N-dimensional torus. This condition is expressed in terms of Diophantine approximation properties of the coefficients. The proof of the Theorem is based on L2-estimates and microlocalization.
  • Keywords
    global hypoellipticity , Fourier transform , Diophantine approximations
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2000
  • Journal title
    Journal of Functional Analysis
  • Record number

    1549686

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1549686