Results 11 to 20 of about 52,481 (258)
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.
Shihshu Walter Wei
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Construction of Planar Harmonic Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri +2 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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Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum
The Journal of Geometric Analysis, 2022 Abstract The spectral theory on the S -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 ...
Colombo F. +3 more
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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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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 s-harmonic functions on cones [PDF]
Analysis & PDE, 2018 We deal with non negative functions satisfying \[ \left\{ \begin{array}{ll} (-Δ)^s u_s=0 & \mathrm{in}\quad C, u_s=0 & \mathrm{in}\quad \mathbb{R}^n\setminus C, \end{array}\right. \] where $s\in(0,1)$ and $C$ is a given cone on $\mathbb R^n$ with vertex at zero.
Terracini, S, Tortone, G, Vita, S
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Directional Convexity of Convolutions of Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2019 Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be ...
Jay M. Jahangiri, Raj Kumar Garg
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Multiply Harmonic Functions [PDF]
Nagoya Mathematical Journal, 1966 Let Ω and Ω′ be two locally compact, connected Hausdorff spaces having countable bases. On each of the spaces is defined a system of harmonic functions satisfying the axioms of M. Brelot [2]. The following is the description of such a system. To each open set of Ω is assigned a vector space of finite continuous functions, called the harmonic functions,
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