Strichartz Estimates Associated with Certain Self-Adjoint Operators

dc.contributor.author	Ghosh, Sunit
dc.date.accessioned	2026-05-19T11:56:14Z
dc.date.issued	2026
dc.description	Swain, Jitendriya
dc.description.abstract	The main focus of this thesis is the study of Strichartz estimates and their extensions to systems of orthonormal functions associated with certain self-adjoint operators. In addition, we investigate a sharp Heisenberg-Pauli-Weyl uncertainty principle for the fractional Dunkl transform. We begin with the Fourier analysis on the Euclidean space, discuss some well known results, basic definitions, and and recent developments that motivate the problems discussed in the thesis.
dc.identifier.other	ROLL NO.206123108
dc.identifier.uri	https://gyan.iitg.ac.in/handle/123456789/3201
dc.language.iso	en
dc.relation.ispartofseries	TH-4006
dc.rights	https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.uri	https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subject	Strichartz Estimates
dc.subject	System of Orthonormal Functions
dc.subject	Grushin Operator
dc.subject	Special Hermite Operator
dc.subject	Special Hermite Spectral Projections
dc.subject	Schatten Exponent
dc.subject	Dunkl Laplacian
dc.subject	Dunkl-Hermite Operator
dc.subject	Heisenberg-Pauli-Weyl Uncertainty Principle
dc.subject	Dunkl Transform
dc.subject	Fractional Dunkl Transform
dc.title	Strichartz Estimates Associated with Certain Self-Adjoint Operators
dc.type	Thesis