Theorems of Chernoff and Ingham for certain eigenfunction expansions
P Ganguly, S Thangavelu - Advances in Mathematics, 2021 - Elsevier
P Ganguly, S Thangavelu
Advances in Mathematics, 2021•ElsevierWe prove an uncertainty principle for certain eigenfunction expansions on L 2 (R+, w (r) dr)
and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami
operators on compact symmetric spaces, special Hermite operator on C n and Hermite
operator on R n.
and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami
operators on compact symmetric spaces, special Hermite operator on C n and Hermite
operator on R n.
We prove an uncertainty principle for certain eigenfunction expansions on L 2 (R+, w (r) d r) and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami operators on compact symmetric spaces, special Hermite operator on C n and Hermite operator on R n.
Elsevier