Concepts in Modern Mathematics III (Analysis) [MatSciRep:52]

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Concepts in Modern Mathematics III (Analysis) [MatSciRep:52]

Show simple item record Unni, K.R. 2010-08-17T09:14:02Z 2010-08-17T09:14:02Z 2010-08-17T09:14:02Z 1966
dc.description.abstract Notes by G.N. Keshavamurthy and N.R. Nandakumar. The third of the series 'Concepts in Modern Mathematics' deals with some fundamental concepts in Analysis. The first four chapters comprise the first part. Chapter I gives a detailed description of Lebesgue Integrals. Basic properties of Topological Vector Space are given in chapter 2 while the results are specialized to normed linear spaces in chapter 3 and in particular different Representation Theorems are given. Gelfand theory and elementary properties of Banach Algebras are the contents of Chapter 4. In the remaining chapters which will appear in a separate part, are discussed the existence of Haar integral on a locally compact abelian groups, duality and characters, Fourier Transforms on L1(G) and L2(G) and finally Pontriagin's Duality theorem is proved. Materials are freely drawn from the standard book included in the bibliography given at the end of part 2. en_US
dc.subject Matscience Report 52 en_US
dc.title Concepts in Modern Mathematics III (Analysis) [MatSciRep:52] en_US
dc.type.institution Institute of Mathematical Sciences en_US
dc.description.pages 145p. en_US
dc.type.mainsub Mathematics en_US

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