ישראל גלפנד

פרק זה לוקה בחסר. אתם מוזמנים לתרום לוויקיפדיה ולהשלים אותו. ראו פירוט בדף השיחה.

• the Gelfand representation in Banach algebra theory;

• the Gelfand–Naimark theorem

• the Gelfand-Naimark-Segal construction

• the representation theory of the complex classical Lie groups

• contributions to distribution theory and measures on infinite-dimensional spaces

• the first observation of the connection of automorphic forms with representations (with Sergei Fomin)

• conjectures about the index theorem

• Ordinary differential equations (Gelfand-Levitan theory)

• work on calculus of variations and soliton theory (Gelfand-Dikii equations)

• contributions to the philosophy of cusp forms

• Gelfand-Fuks cohomology of foliations

• Gelfand-Kirillov dimension

• integral geometry

• combinatorial definition of the Pontryagin class

• Coxeter functors

• generalised hypergeometric series