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We study harmonic functions for the Laplace-eltrami operator on the real hyperbolic space $_{n}$ . We obtain necessary and sufficient conditions for these functions and their normal derivatives to have a boundary distribution. In doing so, we consider different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the hyperbolic ball $_{n}$ . We then study the Hardy spaces $H^{p} (_{n})$ , 0

Harmonic induction on Lie groups.

Ronald L. Lipsman (1983)

Journal für die reine und angewandte Mathematik

Harmonic synthesis for subgroups

Carl S. Herz (1973)

Annales de l'institut Fourier

Let $G$ be a locally compact group and $H$ a closed subgroup. Then $H$ is always a set of local spectral synthesis with respect to the algebra $A_{p} (G)$ , where $A_{2} (G)$ is the Fourier algebra in the sense of Eymard. Global synthesis holds if and only if a certain condition (C) is satisfied; it is whenever the subgroup $H$ is amenable or normal. Global synthesis implies that each convolution operator on $L^{p} (G)$ with support in $H$ which is the ultraweak limit of measures carried by $H$ . The problem of passing from local to global...

Harmonic synthesis of solutions of elliptic equation with periodic coefficients

Victor P. Palamodov (1993)

Annales de l'institut Fourier

An elliptic system in $ℝ^{n}$ , which is invariant under the action of the group $ℤ^{n}$ is considered. We construct a holomorphic family of finite-dimensional subrepresentations of the group in the space of solutions (Floquet solutions), such that any solution of the growth $O (\exp (a | x |))$ at infinity can be rewritten in the form of an integral over the family.

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Harmonic analysis of the de Rham complex on the sphere.

Harmonic analysis on $p$ -torsional groups

Harmonic analysis on quantum spheres associated with representations of $U_{q} ({𝔰𝔬}_{N})$ and $q$ -jacobi polynomials

Harmonic Analysis on Real Reductive Groups. II.

Harmonic analysis on reductive $p$ -adic groups

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

Harmonic analysis on the group of rigid motions of the Euclidean plane

Harmonic analysis on the one-sheet hyperboloid and multiperipheral inclusive distributions

Harmonic analysis with respect to almost invariant measures

Harmonic functions on homogeneous spaces of commutator induced extensions of compact groups

Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces

Harmonic induction on Lie groups.

Harmonic synthesis for subgroups

Harmonic synthesis of solutions of elliptic equation with periodic coefficients

Harmonious Orbits of Linear Transformations.

Harmonische Analyse auf gewissen nilpotenten Lieschen Gruppen

Harmonische Analyse auf Gruppen mit endlich-dimensionalen irreduziblen Darstellungen.

Harmonische Analysis bei Aussagenkalkülen.

Hausdorff measure of the singular set of quasiregular maps on Carnot groups.

Hausdorff-Maße von Summenmengen. I.

Currently displaying 821 – 840 of 2299