• Limits of functions and elliptic operators

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.