Analysis on Lie groups.

Nicholas T. Varopoulos

Displaying similar documents to “Analysis on Lie groups.”

The heat kernel on Lie groups.

Nicholas Th. Varopoulos (1996)

Revista Matemática Iberoamericana

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Hardy-Littlewood theory on unimodular groups

N. Th. Varopoulos (1995)

Annales de l'I.H.P. Probabilités et statistiques

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A geometric classification of Lie groups.

Nicholas T. Varopoulos (2000)

Revista Matemática Iberoamericana

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This paper is part of a general program that was originally designed to study the Heat diffusion kernel on Lie groups.

Besov algebras on Lie groups of polynomial growth

Isabelle Gallagher, Yannick Sire (2012)

Studia Mathematica

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We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.

Backward stochastic differential equations in a Lie group

Anne Estrade, Monique Pontier (2001)

Séminaire de probabilités de Strasbourg

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The measurability of Lie groups

G. Vranceanu (1964)

Annales Polonici Mathematici

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Lie groups and $p$ -compact groups.

Dwyer, W.G. (1998)

Documenta Mathematica

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Trotter's formula on infinite dimensional Lie groups.

Teichmann, Josef (2001)

Journal of Lie Theory

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Finite-dimensional Lie subalgebras of algebras with continuous inversion

Daniel Beltiţă, Karl-Hermann Neeb (2008)

Studia Mathematica

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We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion...

Besov spaces and function series on Lie groups (II).

Leszek Skrzypczak (1993)

Collectanea Mathematica

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In this paper we investigate the absolute convergence in the sup-norm of two-sided Harish-Chandra's Fourier series of functions belonging to Zygmund-Hölder spaces defined on non-compact connected Lie groups. [Part I of the article in MR1240211].

Some relations among volume, intrinsic perimeter and one-dimensional restrictions of $B V$ functions in Carnot groups

Francescopaolo Montefalcone (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $𝔾$ be a $k$ -step Carnot group. The first aim of this paper is to show an interplay between volume and $𝔾$ -perimeter, using one-dimensional horizontal slicing. What we prove is a kind of Fubini theorem for $𝔾$ -regular submanifolds of codimension one. We then give some applications of this result: slicing of $B V_{𝔾}$ functions, integral geometric formulae for volume and $𝔾$ -perimeter and, making use of a suitable notion of convexity, called, we state a Cauchy type formula for $𝔾$ -convex sets. Finally,...