Title	H$\ddot{\rm o}$lder-type inequalities for norms of Wick products generated by a subclass of Meixner random variables
Creator	Stan, Aurel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-09-03T16:30
Description	The class of Meixner random variables can be described in terms of a Lie Algebra structure generated by their quantum operators. This Lie Algebra structure is useful in computing first the kernels that give the second quantization operators, and then the Wick products generated by these random variables. We restrict our attention to three of the most important types of Meixner random variables: Gaussian, Poisson, and Gamma, and present some H Ì older inequalities for the norms of the Wick products generated by them. We show that these inequalities are related to sharp inequalities from classic Harmonic Analysis concerning the norms of some convolution-type products
Extent	56.0
Subject	Mathematics; Probability theory and stochastic processes; Quantum theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Ohio State University at Marion
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376986
URI	http://hdl.handle.net/2429/68799
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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H$\ddot{\rm o}$lder-type inequalities for norms of Wick products generated by a subclass of Meixner random variables Stan, Aurel

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