• Limits of functions and elliptic operators

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      https://www.ias.ac.in/article/fulltext/pmsc/114/02/0153-0158

    • Keywords

       

      Elliptic regularity; real-analytic manifolds; hypoelliptic

    • Abstract

       

      We show that a subspaceS of the space of real analytical functions on a manifold that satisfies certain regularity properties is contained in the set of solutions of a linear elliptic differential equation. The regularity properties are thatS is closed inL2 (M) and that if a sequence of functions fn in ƒn converges inL2(M), then so do the partial derivatives of the functions ƒn.

    • Author Affiliations

       

      Siddhartha Gadgil1

      1. Stat Math Unit, Indian Statistical Institute, Bangalore - 560 059, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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