Jeswani's family moved from India to Chicago when he was 12 years old.
"He was a real kind-hearted person. There for you when you needed him, and he was the only son of his parents," relative Nita Santwani said over the telephone.
The only known surviving gunman from the Mumbai attacks has told police he belonged to a Pakistani militant group. He allegedly said the group was involved with the dispute over the Indian region of Kashmir.
India has blamed elements in Pakistan for the siege in which at least 174 died. Pakistan has denied any role.
Two top Indian government officials resigned Sunday after criticism that their response to the crisis was slow.
Memorials and funerals were held Sunday for some of the victims.