Harmonic Analysis for Vector Fields on Hyperbolic Spaces.

H.M. Reimann; E. Badertscher

Displaying similar documents to “Harmonic Analysis for Vector Fields on Hyperbolic Spaces.”

Harmonic analysis for spinors on real hyperbolic spaces

Roberto Camporesi, Emmanuel Pedon (2001)

Colloquium Mathematicae

Similarity:

We develop the L² harmonic analysis for (Dirac) spinors on the real hyperbolic space Hⁿ(ℝ) and give the analogue of the classical notions and results known for functions and differential forms: we investigate the Poisson transform, spherical function theory, spherical Fourier transform and Fourier transform. Very explicit expressions and statements are obtained by reduction to Jacobi analysis on L²(ℝ). As applications, we describe the exact spectrum of the Dirac operator, study the Abel...

Harmonic analysis on $S U (n, n) / S L (n, ℂ) \times ℝ_{+}$ .

Andersen, Nils Byrial, Unterberger, Jérémie M. (2000)

Journal of Lie Theory

Similarity:

Universal harmonic functions on the hyperbolic space

Athanassia Bacharoglou, George Stamatiou (2010)

Colloquium Mathematicae

Similarity:

We prove universal overconvergence phenomena for harmonic functions on the real hyperbolic space.

A Schwarz Lemma for harmonic and hyperbolic-harmonic functions in higher dimensions.

B. Burgeth (1992)

Manuscripta mathematica

Similarity:

Hp-Spaces of Harmonic Functions and the Wiener Compactification.

Joel L. Schiff (1973)

Mathematische Zeitschrift

Similarity:

New Examples of harmonic diffeomorphisms of the hyperbolic plane onto itself.

Andrejs Treibergs, Hyeong In Choi (1988)

Manuscripta mathematica

Similarity:

The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces

Roberto Camporesi (2016)

Colloquium Mathematicae

Similarity:

We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.

Stationary gaussian random fields on hyperbolic spaces and on euclidean spheres

S. Cohen, M. A. Lifshits (2012)

ESAIM: Probability and Statistics

Similarity:

We recall necessary notions about the geometry and harmonic analysis on a hyperbolic space and provide lecture notes about homogeneous random functions parameterized by this space. The general principles are illustrated by construction of numerous examples analogous to Euclidean case. We also give a brief survey of the fields parameterized by Euclidean spheres. At the end we give a list of important open questions in hyperbolic case.