Some examples in harmonic analysis
B. Johnson (1973)
Studia Mathematica
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Displaying similar documents to “On the degeneration of harmonic sequences from surfaces into complex Grassmann manifolds”
Some examples in harmonic analysis
Harmonic functions on Alexandrov spaces and their applications.
Petrunin, Anton (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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-harmonic maps which map the boundary of the domain to one point in the target.
Course, Neil (2007)
The New York Journal of Mathematics [electronic only]
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Non-closed thin sets in harmonic analysis
S. Hartman (1975)
Colloquium Mathematicae
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Harmonic morphisms between riemannian manifolds
Bent Fuglede (1978)
Annales de l'institut Fourier
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A harmonic morphism between Riemannian manifolds and is by definition a continuous mappings which pulls back harmonic functions. It is assumed that dim dim, since otherwise every harmonic morphism is constant. It is shown that a harmonic morphism is the same as a harmonic mapping in the sense of Eells and Sampson with the further property of being semiconformal, that is, a conformal submersion of the points where vanishes. Every non-constant harmonic morphism is shown to be...
On generalized -harmonic morphisms
A. Mohammed Cherif, Djaa Mustapha (2014)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we study the characterization of generalized -harmonic morphisms between Riemannian manifolds. We prove that a map between Riemannian manifolds is an -harmonic morphism if and only if it is a horizontally weakly conformal map satisfying some further conditions. We present new properties generalizing Fuglede-Ishihara characterization for harmonic morphisms ([Fuglede B., Harmonic morphisms between Riemannian manifolds, Ann. Inst. Fourier (Grenoble) 28 (1978), 107–144],...