The heat kernel on Lie groups.

Nicholas Th. Varopoulos

Displaying similar documents to “The heat kernel on Lie groups.”

Large time estimates for non-symmetric heat kernel on the affine group

Camillo Melzi (2002)

Annales mathématiques Blaise Pascal

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A characterization of bi-invariant Schwartz space multipliers on nilpotent Lie groups

Joe Jenkins (1989)

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Boundedness of $L^{1}$ spectral multipliers for an exponential solvable Lie group

Waldemar Hebisch (1997)

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Spectral multipliers on metabelian groups.

Waldemar Hebisch (2000)

Revista Matemática Iberoamericana

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Let G be a Lie group, X_j right invariant vector fields on G, which generate (as a Lie algebra) the Lie algebra of G, L = -Σ X_j ². (...) In this paper we consider L¹(G) boundedness of F(L) for (some) metabelian G and a distinguished L on G. Of the main interest is that the group is of exponential growth, and possibly higher rank. Previously positive results about higher...

Homogeneous Carnot groups related to sets of vector fields

Andrea Bonfiglioli (2004)

Bollettino dell'Unione Matematica Italiana

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In this paper, we are concerned with the following problem: given a set of smooth vector fields $X_{1}, \dots, X_{m}$ on $R^{N}$ , we ask whether there exists a homogeneous Carnot group $G = (R^{N}, \circ, δ_{λ})$ such that $\sum_{i} X_{i}^{2}$ is a sub-Laplacian on $G$ . We find necessary and sufficient conditions on the given vector fields in order to give a positive answer to the question. Moreover, we explicitly construct the group law i as above, providing direct proofs. Our main tool is a suitable version of the Campbell-Hausdorff formula. Finally, we...

A connected Lie group equals the square of the exponential image.

Wüstner, Michael (2003)

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Some estimates concerning the Zeeman effect

Wiesław Cupała (1993)

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The Itô integral calculus and analysis on nilpotent Lie grops are used to estimate the number of eigenvalues of the Schrödinger operator for a quantum system with a polynomial magnetic vector potential. An analogue of the Cwikel-Lieb-Rosenblum inequality is proved.

On rates of propagation for Burgers’ equation

William Alan Day, Giuseppe Saccomandi (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We give asymptotic formulae for the propagation of an initial disturbance of the Burgers’ equation.