سال انتشار: ۱۳۸۵

محل انتشار: شانزدهمین سمینار آنالیز ریاضی و کاربردهای آن

تعداد صفحات: ۴

نویسنده(ها):

MAHMOUD HADIZADEH YAZDI –

چکیده:

A reproducing kernel Hilbert space restricts the space of functions to smooth functions and has the ideal structure for function approximation and some aspects in learning theory. We discuss the structure of the solution space of some nonlinear operator equations in reproducing kernel Hilbert space. Actually, if the solution exists, we give the analytic representation of the minimal normal solution of the problem. We also try to review some of the basic facts regarding the reproducing kernel Hilbert spaces and their applications in approximation theory, learning theory as well as representation of the exact solution of some classes of nonlinear integral equations.