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Theorems of Chernoff and Ingham for certain eigenfunction expansions

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 نشر من قبل Pritam Ganguly
 تاريخ النشر 2020
  مجال البحث
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We prove an uncertainty principle for certain eigenfunction expansions on $ L^2(mathbb{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 $ mathbb{C}^n $ and Hermite operator on $ mathbb{R}^n.$



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