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Waldschmidt, Michel
(2012-07-06)
The aim of the first part of these lectures (Chapters 2 to 6) is to give a complete proof
of Baker's Theorem. In the second part of these lectures, which starts with the seventh Chapter, produces explicit measures of ...
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Gourdin, M.
(2010-06-28)
These lectures were given the CSIR Visitor, Professor M. Gourdin, Universite De Paris, France. It is consisting of 6 chapters discussing about 'Lie groups and Lie Algebras', 'Lie Groups of Transformations', 'Topological ...
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Tekumalla, Achyuta Rau
(, 2009-08-05)
The generalisations of Dirac Matrices and Clifford Algebra and their various mathematical features and physical applications have been systematically studied by many researchers. This study views the generalisations with ...
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Padma, R.
(, 2009-08-12)
In this thesis the researcher has proved the 'Mean Value theorems for a class of Dirichlet series' following Ramachandra's method. This method gives simple proof of known results, and infact gives an improvement of Good's ...
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Kamalakshya Mahatab
(The Institute of Mathematical Sciences, 2016)
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Fuchs, W.H.J.
(2010-09-13)
The two properties of the polynomials, viz., 1) A polynomial takes on every complex value the same number of times; 2) On large circles |z| = r, the absolute value of a polynomial p(z) is large and "Limit r tends to ...
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Kasturi Nagarajan
(2009-08-05)
This thesis studies multipliers on some of the Segal Algebras, and characterises various spaces of multipliers. Analogous results are obtained. The thesis yields characterisation of the multiplier spaces on the Segal ...
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Digjoy Paul
(The Institute of Mathematical Sciences, 2020)
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Krishnaswami Alladi
(2012-05-30)
This report is an outcome of a series of lectures given by the author at MATSCIENCE during the period October 1974 - January 1975. The author is a student of the final year B.Sc. in Vivekananda College.
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Bharucha-Reid, A.T.
(2010-02-05)
These notes are intended to serve as the first chapter of a forthcoming book on "Semigroups of operators and their applications", the applications being in the areas of differential equations, Markov processes, and ...
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Krishanu Dan
(The Institute of Mathematical Sciences, 2015)
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Rama Rao, V. V.
(2012-06-08)
This report forms part of the lectures given by the author on his own research work during his stay at MATSCIENCE as a Senior Research Fellow. Chapter l deals with the characterisation of the direct product of a Boolean ...
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Thandapani, E.
(, 2009-08-06)
The inequalities furnish a very general comparison principle in studying many qualitative as well as quantitative properties of solutions of related equations. The Gronwall inequality, an example of an inequality for ...
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Jyothsnaa, S.
(The Institute of Mathematical Sciences, 2019)
The study of growth and distribution of class numbers of number fields constitutes
a venerable theme in number theory. The origin of this theory can be traced to
Gauss’s Disquisitiones Arithmeticae.
One is immediately ...
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Vimala, Walter
(2012-05-29)
This report is the outcome of a series of lectures given at Matscience, Since the lntroduction of SpLine functions
in 1946 by L.J.Schoenberg, many new and significant results have been unearthed, of which not a few can ...
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Keshab Chandra Bakshi
(The Institute of Mathematical Sciences, 2017)
In this thesis we examine Pimsner-Popa bases which are not necessarily orthonormal (as in the book of Jones and Sunder)
for an inclusion of subfactors of finite Jones' index and showed that this can also be done for ...
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Venkataraman, S.
(, 2009-08-11)
By a number field, we mean a finite extension of Q. If F is a number field, the ring of integers of F is the integral closure of Z in F. Since the ring of integers of F is finitely generated and torsion free, it is free ...
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Issan Patri
(The Institute of Mathematical Sciences, 2016)
In this thesis, we make study compact quantum groups from the viewpoint of group theory, ergodic theory
and operator algebras. We define and study the notion of inner automorphisms of compact quantum groups and
topological ...
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Parthasarathy, K.V.
(, 2009-08-06)
The main theme of this thesis is to study the Langevin equations arising in different physical contexts, in the light of Ito and Stratonovich theories. The areas of investigation broadly include fluctuation, dissipation ...
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Gyan Prakash
(, 2009-11-04)
This thesis discusses some problems relating the properties of a set A and those of A+A, when A is a subset of an abelian group. Given a finite abelian group G and A is a subset of G, it is said that A is sum-free if the ...