Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 517, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2022.126544
Keywords
Hermite functions; Strichartz functional; Gaussian weight; Exponential bound
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In this paper, a bound on the integral of a product of two Hermite-Gaussian functions with a Gaussian weight is derived. It is proven that such integrals decay exponentially as the difference of the indices of the Hermite-Gaussian functions. These integrals naturally arise in mathematical physics and applied mathematics. The estimate is applied to a variational problem related to a Strichartz functional.
In this paper we derive a bound on the integral of a product of two Hermite-Gaussian functions with a Gaussian weight. We prove that such integrals decay exponentially in the difference of the indices of the Hermite-Gaussian functions. Such integrals arise naturally in mathematical physics and applied mathematics. The estimate is applied to a variational problem related to a Strichartz functional. (c) 2022 Elsevier Inc. All rights reserved.
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