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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 ...
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Biswajyoti Saha
(The Institute of Mathematical Sciences, 2016)
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Ravinder, B
(The Institute of Mathematical Sciences, 2016)
This thesis is a study of the Chari-Pressley-Loktev (CPL) bases
for local Weyl modules of the current algebra Sl r+1 [t].
As convenient parametrizing sets of these bases, we introduce the notion of
partition overlaid ...
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Ujjal Das
(The Institute of Mathematical Sciences, 2021)
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Sivasubramaniam, K.
(, 2009-08-05)
This thesis is a study on the properties of the space of complex valued continuous functions on the real line R with period 1, whose 1 sided nth difference satisfies the Lipschitz condition. The problem of lacunary ...
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Chandan Maity
(The Institute of Mathematical Sciences, 2017)
The nilpotent orbits in the semisimple Lie algebras, under the adjoint action of the
associated semisimple Lie groups, form a rich class of homogeneous spaces. Such
orbits are studied at the interface of several ...
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Anoop, T. V.
(The Institute of Mathematical Sciences, 2011)
The main objective of this thesis is to find a large class of weight functions that admits a positive principal eigenvalue for the weighted eigenvalue problems for the Laplacian and the p-Laplacian.
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Anil Kumar, C.P.
(The Institute of Mathematical Sciences, 2014)
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Tapas Chatterjee
(The Institute of Mathematical Sciences, 2013)
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Krishanu Roy
(The Institute of Mathematical Sciences, 2020)
In this thesis, we undertake a systematic study of π-systems of symmetrizable
Kac-Moody algebras and regular subalgebras of affine Kac-Moody algebras.
A π-system Σ is a finite subset of the real roots of a Kac-Moody ...