Fourier coefficients and growth of harmonic functions
International Journal of Mathematics and Mathematical Sciences, 1987 We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its ...
A. fryant, H. Shankar
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Random Sampling of Entire Functions of Exponential Type in Several Variables
Israel Journal of Mathematics, 2007 22 pages Revised the section on covering numbers and clarified some estimates.
Gröchenig, Karlheinz, Bass, Richard
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Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2
Open Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type α∂f(z1,z2)∂z1+β∂f(z1,z2)∂z2m+f(
Gui Xian Min +3 more
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International Journal of Mathematics and Mathematical Sciences, 1980 We show that any mean-periodic function f can be represented in terms of exponential-polynomial solutions of the same convolution equation f satisfies, i.e., u∗f=0(μ∈E′(ℝn)). This extends to n-variables the work of L.
Carlos A. Berenstein, B. A. Taylor
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Clocks Ticking in the Dark: A Review of Biological Rhythms in Subterranean African Mole-Rats
Frontiers in Ecology and Evolution, 2022 Biological rhythms are rhythmic fluctuations of biological functions that occur in almost all organisms and on several time scales. These rhythms are generated endogenously and entail the coordination of physiological and behavioural processes to ...
Maria K. Oosthuizen +3 more
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Stochastic macromodeling of nonlinear systems via polynomial chaos expansion and transfer function trajectories [PDF]
, 2014 A novel approach is presented to perform stochastic variability analysis of nonlinear systems. The versatility of the method makes it suitable for the analysis of complex nonlinear electronic systems. The proposed technique is a variation-aware extension
De Jonghe, Dimitri +5 more
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Foam: Multi-Dimensional General Purpose Monte Carlo Generator With Self-Adapting Simplical Grid [PDF]
, 1999 A new general purpose Monte Carlo event generator with self-adapting grid consisting of simplices is described. In the process of initialization, the simplex-shaped cells divide into daughter subcells in such a way that: (a) cell density is biggest in ...
Jadach, S.
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Polynomiality criterion for entire functions of several complex variables
Mathematical Notes, 1999 The “radial” polynomiality criterion for entire functions of several complex variables is proved.
Dovbuş, P.V., Dovbush, P.V.
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On dynamical systems approaches and methods in $f(R)$ cosmology
, 2016 We discuss dynamical systems approaches and methods applied to flat Robertson-Walker models in $f(R)$-gravity. We argue that a complete description of the solution space of a model requires a global state space analysis that motivates globally covering ...
Alho, Artur +2 more
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Generalized Order and Best Approximation of Entire Function in 𝐿𝑝-Norm
International Journal of Mathematics and Mathematical Sciences, 2010 The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact 𝐾 with respect to the set Ω𝑟={𝑧∈𝐂𝑛;exp𝑉𝐾(𝑧)≤𝑟}, where 𝑉𝐾=
Mohammed Harfaoui
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