Studies in multiplier problem

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Studies in multiplier problem

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dc.contributor.author Keshava Murthy, G. N.
dc.date.accessioned 2009-08-05T05:00:28Z
dc.date.available 2009-08-05T05:00:28Z
dc.date.issued 2009-08-05T05:00:28Z
dc.date.submitted 1974
dc.identifier.uri http://hdl.handle.net/123456789/40
dc.description.abstract In 1939 J. Marcinkiewicz, proved a very important multiplier theorem of Fourier Series. It gives sufficient conditions for a sequence of complex numbers to have the property that multiplication of the fourier coefficients of a periodic function f, will give a periodic function g, and then a mapping f -> g is bounded in Lp. There exists various generalisations of theis result; Many situations in classical fourier analysis can be regarded as problems in multiplier theory. Multipliers seems to appear in many important branches like Banach algebra, Singular integrals, and Partial Differential Equations; The theory of multipliers can be regarded as one of the fashionable fields of harmonic analysis. This thesis works about - some discussions in Weighted Spaces; Multipliers on weighted spaces; Segal algebra; Multipliers on different Spaces; and about 'a space of functions of Zygmund'. en_US
dc.subject Banach Algebras en_US
dc.subject Fourier Transformation en_US
dc.subject Segal Algebras en_US
dc.subject Zymund Functions en_US
dc.title Studies in multiplier problem en_US
dc.type.degree Ph.D en_US
dc.type.institution University of Madras en_US
dc.description.advisor Unni, K. R.
dc.description.pages iv; 105p. en_US
dc.type.mainsub Mathematics en_US

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