Some classical problems in harmonie analysis

dc.contributor.authorMondal, Shyam Swarup
dc.date.accessioned2023-03-24T13:00:43Z
dc.date.accessioned2023-10-20T12:30:21Z
dc.date.available2023-03-24T13:00:43Z
dc.date.available2023-10-20T12:30:21Z
dc.date.issued2023
dc.descriptionSupervisor: Swain, Jitendriyaen_US
dc.description.abstractThis thesis focuses on certain classical problems in harmonic analysis in connection with mathematical physics. We begin with the Fourier analysis on the Euciidean space, discuss some well known results, basic definitions, and review of recent developments that motivates us to consider the problems discussed in the thesis. We prove a restriction theorem for the Fourier-Hermite transform and obtain a Strichartz estimate for systems of orthonormal fi.rnctions associated with the Hermite operator H : -L, + lrl' on R.' for the range I I q < ffi as an application. Besides, we show an optimal behavior of the constant in the Strichartz estimate as limit of a large number of functions.en_US
dc.identifier.otherROLL NO.146121004
dc.identifier.urihttps://gyan.iitg.ac.in/handle/123456789/2318
dc.language.isoenen_US
dc.relation.ispartofseriesTH-2994;
dc.subjectStricharE Estimaleen_US
dc.subjectRestriction Theoremen_US
dc.subjectHermite Operatoren_US
dc.subjectSpeeial Hermite Operatoren_US
dc.subjectSzeg\"0 Limit Theoremen_US
dc.subjectPseudo-differential Operatoren_US
dc.titleSome classical problems in harmonie analysisen_US
dc.typeThesisen_US
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