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Exponential bound of the integral of Hermite functions product with Gaussian weight
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.
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- Award ID(s):
- 1813384
- PAR ID:
- 10355570
- Date Published:
- Journal Name:
- Journal of mathematical analysis and applications
- Volume:
- 517
- Issue:
- 1
- ISSN:
- 0022-247X
- Page Range / eLocation ID:
- 126544
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1016/j.jmaa.2022.126544
