Results 11 to 20 of about 93,932 (267)
Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum
The Journal of Geometric Analysis, 2022 AbstractThe spectral theory on theS-spectrum was introduced to give an appropriate mathematical setting to quaternionic quantum mechanics, but it was soon realized that there were different applications of this theory, for example, to fractional heat diffusion and to the spectral theory for the Dirac operator on manifolds.
Colombo F. +3 more
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Functionals of Harmonics Functions [PDF]
The First International Conference on Symmetry, 2018 Ministerio de Economía y ...
Quintero, Niurka R. +2 more
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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]
Abstract and Applied Analysis, 2012 For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U = ϕ−1(V) ⊂ M projects down, via its horizontal component, to a ...
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Harmonic analysis of harmonic functions in the plane [PDF]
Proceedings of the American Mathematical Society, 1976 A continuous function on the complex plane is harmonic if and only if the span of its compositions with entire functions is not dense in the space of continuous functions in the topology of uniform convergence on compact sets.
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On Harmonic Functions on Trees [PDF]
Potential Analysis, 2001 We study the asymptotic behaviour of harmonic and p-harmonic functions ...
Cantón, Alicia +3 more
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The Approximation of Harmonic Functions by Harmonic Polynomials and by Harmonic Rational Functions [PDF]
Bulletin of the American Mathematical Society, 1929 which converges uniformly f or all values of 6. This is of course a general fact, tha t if a given function can be uniformly approximated as closely as desired by a linear combination of other functions, then that function can be expanded in a uniformly convergent series of which each term is a linear combination of those other functions, and ...
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Further result on Dirichlet-Sch type inequality and its application
Journal of Inequalities and Applications, 2017 In this paper we deal with a theoretical question raised in connection with the application of Dirichlet-Sch type inequality, obtained by Huang (Int. Math. J.
Liquan Wan
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On the asymptotic events of a Markov chain
International Journal of Mathematics and Mathematical Sciences, 1979 In this paper we investigate some structure properties of the tail σ-field and the invariant σ-field of both homogeneous and nonhomogeneous Markov chains as representations for asymptotic events, descriptions of completely nonatomic and atomic sets and ...
Harry Cohn
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1$-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface of such a subsolution is calibrated and hence is area-minimizing over $\mathbb{R}$; and every 7-dimensional $SO(2)\times SO(6)$-
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Monogenic functions and harmonic vectors
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We consider special topological vector spaces with a commutative multiplication for some of elements of the spaces and monogenic functions taking values in these spaces.
Sergiy Plaksa
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