- subharmonic function
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субгармоническая функция
Англо-русский словарь технических терминов. 2005.
subharmonic function
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Subharmonic function — In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Intuitively, subharmonic functions are related to convex… … Wikipedia
Plurisubharmonic function — In mathematics, plurisubharmonic functions form an important class of functions used in complex analysis. On a Kahler manifold,plurisubharmonic functions form a subset of the subharmonic functions. However, unlikesubharmonic functions (which are… … Wikipedia
Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… … Wikipedia
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Fine topology (potential theory) — In mathematics, in the field of potential theory, the fine topology is a natural topology for setting the study of subharmonic functions. In the earliest studies of subharmonic functions, only smooth functions were considered, namely those for… … Wikipedia
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Polar set (potential theory) — In mathematics, in the area of classical potential theory, polar sets are the negligible sets , similar to the way in which sets of measure zero are the negligible sets in measure theory. Definition A set Z in R^n (where nge 2) is a polar set if… … Wikipedia
Séminaire Nicolas Bourbaki — The Séminaire Nicolas Bourbaki (Bourbaki Seminar) is a series of seminars (in fact public lectures with printed notes distributed) that has been held in Paris since 1948. It is one of the major institutions of contemporary mathematics, and a… … Wikipedia
Newton's theorem of revolving orbits — Figure 1: An attractive force F(r) causes the blue planet to move on the cyan circle. The green planet moves three times faster and thus requires a stronger centripetal force, which is supplied by adding an attractive inverse cube force. The … Wikipedia
Kelvin transform — This article is about a type of transform used in classical potential theory, a topic in mathematics. The Kelvin transform is a device used in classical potential theory to extend the concept of a harmonic function, by allowing the definition of… … Wikipedia
Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… … Wikipedia
