An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

  • Marco Bramanti

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Marco Bramanti
    Pages 1-14
  3. Marco Bramanti
    Pages 87-117
  4. Marco Bramanti
    Pages 119-150

About this book


​Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines of development.


Hörmander's operators Hörmander's vector fields hypoelliptic operators

Authors and affiliations

  • Marco Bramanti
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly

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