Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/843
Full metadata record
DC FieldValueLanguage
dc.contributor.authorArora, Shirina-
dc.date.accessioned2017-10-24T04:56:16Z-
dc.date.available2017-10-24T04:56:16Z-
dc.date.issued2017-07-13-
dc.identifier.urihttp://hdl.handle.net/123456789/843-
dc.description.abstractThe Hilbert transform is the most important operator in analysis. There is only one singular integral in 1-D and it is Hilbert transform. The most important fact about Hilbert transform is that it is bounded on Lp for 1 < p < 1. The aim is of this thesis is to study the basic properties of the Fourier series of a function and see whether partial sums of the Fourier series of a functions converges or not and under what constraints the series converges(uniform, pointwise and in norm convergence). Later we will see how Hilbert transform plays a crucial role in Lp norm convergence of the partial sums of the Fourier series. At the end, I will try to see how the results of 1-D works in the case of double Fourier series (that is, 2-D) and the summability methods and their convergenceen_US
dc.description.sponsorshipIISER-Men_US
dc.language.isoenen_US
dc.publisherIISER-Men_US
dc.subjectMathematicsen_US
dc.subjectHilbert Transformen_US
dc.subjectAnalysisen_US
dc.subjectFourier Seriesen_US
dc.titleThe Hilbert Transformen_US
dc.typeThesisen_US
Appears in Collections:MS-12

Files in This Item:
File Description SizeFormat 
MS-12002.pdf20.16 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.