Axiomatic theory of harmonic functions. Balayage
نویسندگان
چکیده
منابع مشابه
On the axiomatic of harmonic functions II
© Annales de l’institut Fourier, 1963, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier...
متن کاملAn Axiomatic Theory for Partial Functions
We describe an axiomatic theory for the concept of one-place, partial function, where function is taken in its extensional sense. The theory is rather general, i.e., concepts like natural numbers and sets are definable, and topics as non-strictness and self application can be handled. It contains a model of the (extensional) lambda calculus, and commonly applied mechanisms (like currying, induc...
متن کاملInvolvement of Hypergeometric Functions in The Theory of Harmonic Functions
Harmonic univalent mappings have attracted the serious attention of complex analysts only after the appearance of a basic paper by Clunie and Sheil-Small [4] in 1984. These researchers laid the foundation for the study of harmonic univalent mappings over the unit disk as a generalization of analytic univalent functions. Interestingly, almost at the same time, the famous Bieberbach conjecture wh...
متن کاملA lower estimate of harmonic functions
We shall give a lower estimate of harmonic functions of order greater than one in a half space, which generalize the result obtained by B. Ya. Levin in a half plane.
متن کاملHarmonic functions, central quadrics, and twistor theory
Solutions to the n-dimensional Laplace equation which are constant on a central quadric are found. The associated twistor description of the case n = 3 is used to characterise Gibbons-Hawking metrics with tri-holomorphic SL(2,C) symmetry.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1965
ISSN: 0373-0956
DOI: 10.5802/aif.209