Some aspects of poisson transform on homogeneous trees

dc.contributor.guide	Kumar, Pratyoosh
dc.coverage.spatial	Mathematics
dc.creator.researcher	Rano, Sumit Kumar
dc.date.accessioned	2023-01-13T05:20:25Z
dc.date.available	2023-01-13T05:20:25Z
dc.date.awarded	2020
dc.date.completed	2020
dc.date.registered	2015
dc.description.abstract	In this thesis we study certain properties of the eigenfunctions of the Laplacian and their application in harmonic analysis on homogeneous trees The topics we study in the thesis are the following First we characterize all eigenfunctions of the Laplacian on homogeneous trees which are the Poisson transform of L p functions defined on the boundary Using the duality argument we also prove the restriction theorem for the Helgason Fourier transforms on a homogeneous tree In 1980 J...
dc.description.note	Not Available
dc.format.accompanyingmaterial	None
dc.format.dimensions	Not Available
dc.format.extent	Not Available
dc.identifier.uri	http://hdl.handle.net/10603/444771
dc.language	English
dc.publisher.institution	DEPARTMENT OF MATHEMATICS
dc.publisher.place	Guwahati
dc.publisher.university	Indian Institute of Technology Guwahati
dc.relation	Not Available
dc.rights	self
dc.source.university	University
dc.subject.keyword	Mathematics
dc.subject.keyword	Mathematics Applied
dc.subject.keyword	Physical Sciences
dc.title	Some aspects of poisson transform on homogeneous trees
dc.title.alternative	Not available
dc.type.degree	Ph.D.