Stratified Lie groups and potential theory for their sub-Laplacians

  title={Stratified Lie groups and potential theory for their sub-Laplacians},
  author={Andrea Bonfiglioli and Ermanno Lanconelli and Francesco Uguzzoni},
The existence, for every sub-Laplacian, of a homogeneous fundamental solution smooth out of the origin, plays a crucial role in the book. This makes it possible to develop an exhaustive Potential Theory, almost completely parallel to that of the classical Laplace operator. This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. In recent years, sub-Laplacian operators have received considerable attention due to their special role in the theory… Expand
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An Application of Caratheodory-Chow-Rashevsky Theorem 727
    An Example of Application to PDE's 661
      Direct Characterization of H-type Groups 686
        Folland's Lifting of Homogeneous Vector Fields 666
          H-type Groups of Iwasawa-type 702
            Polynomials and Derivatives on Homogeneous Carnot Groups 734
              Stratified Taylor Formula with Integral Remainder 754
                Stratified Taylor Formula with Peano Remainder 751
                  Taylor Formula on Homogeneous Carnot Groups 746
                    The Caratheodory-Chow-Rashevsky Theorem 715