11月1日(木) 15:00 -- 16:30 澤野 嘉宏 (首都大学東京) ``Compactness of the modified Laplace transform on the weighted $L^2$-spaces.'' <研究発表要旨> This talk is oriented to viewing a compact operator appearing in numerical analysis. We intend to investigate the compactness of L f(p)=p \int_0^\infty e^{-tp}f(t) dt. Firstly, we make a review of elementary facts on functional analysis and then show our main results. After that, we shall exhibit examples. In our actural talk, we shall show not only that the operator is compact but also that it is in the Schmidt class.