Drusvyatskiy, D.Larsson, M.2015-02-202015-02-202015-02-20201510.1090/S0002-9947-2014-06412-Xhttps://infoscience.epfl.ch/handle/20.500.14299/111376WOS:000344826400025We investigate smooth approximations of functions, with prescribed gradient behavior on a distinguished stratified subset of the domain. As an application, we outline how our results yield important consequences for a recently introduced class of stochastic processes, called the matrix-valued Bessel processes.Stratificationstratified vector fieldapproximationnormal bundleBessel processSobolev spaceApproximating Functions On Stratified Setstext::journal::journal article::research article