Isometry of functional spaces with different number of variables
AbstractWe construct spaces of real functions of n + k variables that are isometric to spaces of real functions given on an n-dimensional Euclidean space. We present certain properties and examples of delta-like kernels used for the construction of isometric spaces of functions with different number of variables. We prove certain assertions that enable one to construct delta-like kernels with many variables by using delta-like kernels with smaller number of variables.
How to Cite
Bushev, D. M. “Isometry of Functional Spaces With Different Number of Variables”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 8, Aug. 1998, pp. 1027–1045, https://umj.imath.kiev.ua/index.php/umj/article/view/4852.