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… 

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The Fundamental Solution on H-type Groups 695

    Folland's Lifting of Homogeneous Vector Fields 666

      Polynomials and Derivatives on Homogeneous Carnot Groups 734

        An Example of Application to PDE's 661

          Taylor Formula on Homogeneous Carnot Groups 746

            H-type Groups of Iwasawa-type 702

              Stratified Taylor Formula with Integral Remainder 754

                The Caratheodory-Chow-Rashevsky Theorem for Stratified Vector Fields 715

                  An Application of Caratheodory-Chow-Rashevsky Theorem 727

                    The Caratheodory-Chow-Rashevsky Theorem 715