Results 221 to 230 of about 52,366 (261)

Sets of Harmonicity for Finely Harmonic Functions

Potential Analysis, 2004
The author establishes the sharpness of a theorem of Fuglede. \textit{B. Fuglede} [Ann. Inst. Fourier 24, No. 4, 77--91 (1974; Zbl 0287.31003)] observed the following result. Let \(U\) be an open set in \({\mathbb R}^n\) (\(n\geq 2\)). If \(u\) is finely harmonic on \(U\), then there is a dense open subset \(V\) of \(U\) on which \(u\) is harmonic. The
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A Threshold Function for Harmonic Update

SIAM Journal on Discrete Mathematics, 1997
Summary: Harmonic update is a randomized on-line algorithm which, given a random \(m\)-set of vertices \(U(m)\subseteq\{-1,1\}^n\) in the \(n\)-dimensional cube, generates a random vertex \(\mathbf w\in\{-1,1\}^n\) as a putative solution to the system of linear inequalities: \(\sum_{i=1}^n w_i u_i\geq 0\) for each \(\mathbf u\in U(m)\).
Shao C. Fang, Santosh S. Venkatesh
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On a Property of Harmonic Functions

Zeitschrift für Analysis und ihre Anwendungen, 1995
If we divide the space \mathbb R^n into two disjoint areas with one common hypersurface and define a harmonic function in each part of these areas such that their gradients vanish at infinity and the normal components of their gradients are equal on
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On univalent harmonic functions

2002
In Ann. Acad. Sci. Fenn., Ser. A I 9, 3--25 (1984; Zbl 0506.30007) \textit{J. Clunie} and \textit{T. Sheil-Small } introduced and studied the class \(S_H\) of complex valued, harmonic, orientation preserving, univalent functions \(f\) in the unit disk normalized by \(f(0)=0\), \(f'_z(0)-1=0\). Such functions have representation \[ f(z)=h(z)+\overline{g}
Yalçın Tokgöz, Sibel, Öztürk, Metin
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Harmonic functions and collision probabilities

Proceedings of the 1994 IEEE International Conference on Robotics and Automation, 1997
There is a close relationship between harmonic functions— which have recently been proposed for path planning—and hitting probabilities for random processes. The hitting proba bilities for random walks can be cast as a Dirichlet problem for harmonic functions, in much the same way as in path plan ning.
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Increasing functions, harmonic bloch and harmonic normal functions

Complex Variables, Theory and Application: An International Journal, 1999
In this note, characterization for harmonic Bloch functions and harmonic normal functions are given by means of increasing functions.
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The “Harmonic” Rejecting Correlation Function

Multidimensional Systems and Signal Processing, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Application of Poisson Distribution Series on Harmonic Classes of Analytic Functions

Symmetry, 2023
Basem Aref Frasin, Alina Alb Lupaş
exaly  

On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket

Journal of Mathematical Analysis and Applications, 2020
Abhilash Sahu, Amit Priyadarshi
exaly  

Explicit p-harmonic functions on the real Grassmannians

Advances in Geometry, 2023
Elsa Ghandour, Sigmundur Gudmundsson
exaly