On a functional equation arising from hyperbolic geometry
نویسندگان
چکیده
منابع مشابه
Orbit Spaces Arising from Isometric Actions on Hyperbolic Spaces
Let be a differentiable action of a Lie group on a differentiable manifold and consider the orbit space with the quotient topology. Dimension of is called the cohomogeneity of the action of on . If is a differentiable manifold of cohomogeneity one under the action of a compact and connected Lie group, then the orbit space is homeomorphic to one of the spaces , , or . In this paper we suppo...
متن کاملOn a Functional Equation Arising from a Queueing Model
Functional equations play an important role in many applications. They offer a powerful tool for narrowing the models used to describe many phenomena. In particular, a certain challenging class of functional equations arises recently from many applications like e.g. networks and databases. Usually, such class of equations stems when obtaining the generating functions of queueing systems distrib...
متن کاملOn a Functional Equation Arising in Statistics
The general solutions of a functional equation, derived from the first and second order moments of a finite discrete random variable, have been obtained.
متن کاملA Functional Equation Arising from Ranked Additive and Separable Utility
All strictly monotonic solutions of a general functional equation are determined. In a particular case, which plays an essential role in the axiomatization of rank-dependent expected utility, all nonnegative solutions are obtained without any regularity conditions. An unexpected possibility of reduction to convexity makes the present proof possible.
متن کاملReconsidering a functional equation arising from number theory
In a recent paper Chávez and Sahoo considered the functional equation f(ux− vy, uy + v(x+ y)) = f(x, y)f(u, v), which arose in a number theoretical context. Unfortunately one of their results is incorrect. Here we reconsider the equation on various domains. We observe that it is in fact a multiplicative Cauchy equation in disguise. We also point out some remaining open problems.
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: Aequationes Mathematicae
سال: 1981
ISSN: 0001-9054,1420-8903
DOI: 10.1007/bf02190187