## amoodarya one year ago which kernel has finite rank ?

1. amoodarya

in integral equations $$x(s)=y(s)+\lambda\int_a^b k(s,t)x(t) dt\\k \in L^2[a,b]$$ which one of listed kernels has finite rank ? how to show (or proof)? $$a)k(s,t)=\cos(s+t)\\b)k(s,t)=e^{s+t}\cos(s+t)\\c)k(s,t)=e^{st}$$

2. ikram002p

Ok I'll try this on noon