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Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompeiu integral formula in super Dunkl-Clifford analysis and several related results, such as Stokes formula, Morera's theorem and Painlevé theorem for super Dunkl-monogenic functions. These results are nice generalizations of well-known facts in complex analysis.

A Characteristic Eigenfunction for Minimal Hypersurfaces in Space Forms.

Steen Markvorsen (1989)

Mathematische Zeitschrift

A characterization of caloric morphisms between manifolds.

Nishio, Masaharu, Shimomura, Katsunori (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces

Yuri Bakhtin, Matilde Martánez (2008)

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

$ℒ$ denotes a (compact, nonsingular) lamination by hyperbolic Riemann surfaces. We prove that a probability measure on $ℒ$ is harmonic if and only if it is the projection of a measure on the unit tangent bundle $T^{1} ℒ$ of $ℒ$ which is invariant under both the geodesic and the horocycle flows.

A characterization of harmonic sections and a Liouville theorem

Simão Stelmastchuk (2012)

Archivum Mathematicum

Let $P (M, G)$ be a principal fiber bundle and $E (M, N, G, P)$ an associated fiber bundle. Our interest is to study the harmonic sections of the projection $π_{E}$ of $E$ into $M$ . Our first purpose is give a characterization of harmonic sections of $M$ into $E$ regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of $π_{E}$ .

A characterization of maps in $H^{1} (B^{3}, S^{2})$ which can be approximated by smooth maps

F. Bethuel (1990)

Annales de l'I.H.P. Analyse non linéaire

A Characterization of the Cannonical Spheres by the Spectrum.

Shukichi Tanno (1980)

Mathematische Zeitschrift

A characterization of the eigenvalues of a completely continuous selfadjoint operator

Joachim Naumann (1972)

Commentationes Mathematicae Universitatis Carolinae

A characterization of the Riemann extension in terms of harmonicity

Cornelia-Livia Bejan, Şemsi Eken (2017)

Czechoslovak Mathematical Journal

If $(M, \nabla)$ is a manifold with a symmetric linear connection, then $T^{*} M$ can be endowed with the natural Riemann extension $\bar{g}$ (O. Kowalski and M. Sekizawa (2011), M. Sekizawa (1987)). Here we continue to study the harmonicity with respect to $\bar{g}$ initiated by C. L. Bejan and O. Kowalski (2015). More precisely, we first construct a canonical almost para-complex structure $𝒫$ on $(T^{*} M, \bar{g})$ and prove that $𝒫$ is harmonic (in the sense of E. García-Río, L. Vanhecke and M. E. Vázquez-Abal (1997)) if and only if $\bar{g}$ reduces to the...

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Displaying 1 – 20 of 534

A 2D climate energy balance model coupled with a 3D deep ocean model.

A bifurcation result for equations with anisotropic $p$ -Laplace-like operators.

A "Birkhoff-Lewis" type result for a class of Hamiltonian systems.

A bornological approach to rotundity and smoothness applied to approximation.

A bumpy metric theorem and the Poisson relation for generic strictly convex domains.

A $C^{0}$ -theory for the blow-up of second order elliptic equations of critical Sobolev growth.

A Canonical Form of a System of Microdifferential Equations with Non-Involutory Characteristics and Branching of Singularities.

A canonical trace associated with certain spectral triples.

A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis