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Analysis of the Hodge Laplacian on the Heisenberg Group

Detlef Muller
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      The authors consider the Hodge Laplacian Δ on the Heisenberg group H n , endowed with a left-invariant and U(n) -invariant Riemannian metric. For 0≤k≤2n 1 , let Δ k denote the Hodge Laplacian restricted to k -forms.In this paper they address three main, related questions:(1) whether the L 2 and L p -Hodge decompositions, 1(2) whether the Riesz transforms dΔ −12 k are L p -bounded, for 1
      Format: Paperback / softback CONTRIBUTORS: Detlef Muller EAN: 9781470409395 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2015-01-30 CITY: GENRE: MATHEMATICS / Mathematical Analysis WIDTH: 178 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis

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      Detlef Muller, Universitat Kiel, Germany.Marco M. Peloso, Universita Degli Studi Di Mila, Milano, Italy.Fulvio Ricci, Scuola Normale Superiore, Pisa, Italy.
      The authors consider the Hodge Laplacian Δ on the Heisenberg group H n , endowed with a left-invariant and U(n) -invariant Riemannian metric. For 0≤k≤2n 1 , let Δ k denote the Hodge Laplacian restricted to k -forms.In this paper they address three main, related questions:(1) whether the L 2 and L p -Hodge decompositions, 1(2) whether the Riesz transforms dΔ −12 k are L p -bounded, for 1
      Format: Paperback / softback CONTRIBUTORS: Detlef Muller EAN: 9781470409395 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2015-01-30 CITY: GENRE: MATHEMATICS / Mathematical Analysis WIDTH: 178 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis

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      Detlef Muller, Universitat Kiel, Germany.Marco M. Peloso, Universita Degli Studi Di Mila, Milano, Italy.Fulvio Ricci, Scuola Normale Superiore, Pisa, Italy.

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