Some examples in harmonic analysis
B. Johnson (1973)
Studia Mathematica
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B. Johnson (1973)
Studia Mathematica
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Petrunin, Anton (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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S. Hartman (1975)
Colloquium Mathematicae
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S. Simić (1979)
Matematički Vesnik
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Wang, Ze-Ping (2009)
Beiträge zur Algebra und Geometrie
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Luen-Fai Tam (1992)
Mathematische Zeitschrift
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Lin, En-Bing (2010)
Journal of Inequalities and Applications [electronic only]
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Jevtić, M. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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A. Calderón, A. Zygmund (1964)
Studia Mathematica
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Ricardo Costa, Gaspar J. Machado, Stéphane Clain (2015)
International Journal of Applied Mathematics and Computer Science
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A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for onedimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy. First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the...
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...