Interpolation via symmetric exponential functions

21st International Conference on Integrable Systems and Quantum Symmetries

Bezubik, Agata^1 ; Pota, Severin^2

Insitute of Mathematics, University of Bialystok, Akademicka 2, 15-267 Bialystok, Poland^1

Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Prague, Czech Republic^2

关键词: Anti-symmetric;    Complex valued functions;    Euclidean spaces;    Integrable systems;    Permutation group;    Special functions;    Uniform convergence;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012011/pdf
DOI  :  10.1088/1742-6596/474/1/012011

来源: IOP

【 摘 要 】

Complex valued functions on the Euclidean space n, symmetric or antisymmetric with respect to the permutation group Sn, are often dealt with in various branches of physics, such as quantum theory or theory of integrable systems. One often needs to approximate such functions with series consisting of various special functions which satisfy nice properties. Questions of uniform convergence of such approximations are crucial for applications. In this article a family of special functions called the symmetric exponential functions are used for such approximation and the uniform convergence of their sums is considered.