M. Peloso's Books

Analysis of the Hodge Laplacian on the Heisenberg Group

By: Detlef Muller,Marco M. Peloso,Fulvio Ricci

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Analysis of the Hodge Laplacian on the Heisenberg Group

By: Detlef Muller,Marco M. Peloso,Fulvio Ricci

The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_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

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Page Count

104

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470409399

ISBN 13

9781470409395

Hodge Theory in the Sobolev Topology for the de Rham Complex

By: Luigi Fontana,Steven George Krantz,Marco M. Peloso

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Hodge Theory in the Sobolev Topology for the de Rham Complex

By: Luigi Fontana,Steven George Krantz,Marco M. Peloso

In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain. It features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems; theorems completely explained and proved; and new geometric tools for differential analysis on domains and manifolds.

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Page Count

114

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821808303

ISBN 13

9780821808306

Partial Differential Equations and Complex Analysis

By: Steven G. Krantz

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Partial Differential Equations and Complex Analysis

By: Steven G. Krantz

Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Partial Differential Equations and Complex Analysis explores the background and plumbs the depths of this symbiosis. The book is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?-Neumann problem, then considers applications to the complex function theory of several variables and to the Bergman projection.

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Page Count

322

Publisher

CRC Press

Published Date

ISBN 10

0849371554

ISBN 13

9780849371554

Continuous Advances in QCD 2006

By: M. Peloso,M. Shifman

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Continuous Advances in QCD 2006

By: M. Peloso,M. Shifman

The volume contains the proceedings of the workshop Continuous Advances in QCD 2006, hosted by the Wiliam I Fine Theoretical Physics Institute. This biennial workshop was the seventh meeting of the series, held at the University of Minnesota since 1994. The workshop gathered together about 110 scientists (a record number for the event), including most of the leading experts in quantum chromodynamics and non-Abelian gauge theories in general.

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Page Count

611

Publisher

World Scientific

Published Date

ISBN 10

981270826X

ISBN 13

9789812708267

Hodge Theory in the Sobolev Topology for the de Rham Complex

By: Luigi Fontana,Steven George Krantz,Marco M. Peloso

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Hodge Theory in the Sobolev Topology for the de Rham Complex

By: Luigi Fontana,Steven George Krantz,Marco M. Peloso

In this text, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the L2 topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain.

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Page Count

114

Publisher

American Mathematical Society(RI)

Published Date

ISBN 10

1470402114

ISBN 13

9781470402112

Book's by M. Peloso

Analysis of the Hodge Laplacian on the Heisenberg Group

Analysis of the Hodge Laplacian on the Heisenberg Group

Hodge Theory in the Sobolev Topology for the de Rham Complex

Hodge Theory in the Sobolev Topology for the de Rham Complex

Partial Differential Equations and Complex Analysis

Partial Differential Equations and Complex Analysis

Continuous Advances in QCD 2006

Continuous Advances in QCD 2006

Hodge Theory in the Sobolev Topology for the de Rham Complex

Hodge Theory in the Sobolev Topology for the de Rham Complex

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