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Srikanth Tupurani
(The Institute of Mathematical Sciences, 2014)
This thesis deals with mathematical objects known as planar algebras. These were
introduced by Vaughan Jones in order to study the so-called ‘standard invariant’
of a II1-subfactor and have provided a powerful pictorial ...
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Sukumar Das Adhikari
(IMSc, 1989)
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Aaloka, Kanhere
(The Institute of Mathematical Sciences, 2009)
This thesis has three parts. In the first part an irreducible curve C in P^2 is considered. The Veronese map is used for mapping it to P^5 and the resolutions are computed. In the second part, looking into two distinct ...
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Rajesh, M.
(, 2009-08-26)
Some problems in the homogenization of partial differential equations are considered for this study. The process of obtaining the macroscopic or effective properties of materials having heterogeneities on a scale much ...
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Prem Prakash Pandey
(The Institute of Mathematical Sciences, 2013)
In this thesis the author has worked on three different problems. Some progress is reported on these three problems. The first problem considered is about "Higher Residue Symbols". Given a finite set S of integers, the ...
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Anish Mallick
(The Institute of Mathematical Sciences, 2016)
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Dhriti Ranjan Dolai
(The Institute of Mathematical Sciences, 2015)
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Vimala, Walter
(2009-08-04)
The properties of Splines in Hilbert Space is studied in this thesis. The assumptions are simple and quit sufficient to establish the existence of minimal element for different types of constraint sets, the minimal element ...
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Seshadri Chintapalli
(The Institute of Mathematical Sciences, 2014)
This thesis is divided into two parts.
In the first part, it is proved that, the semistability of logarithmic de Rham sheaves on a smooth projective variety (X;D), under suitable conditions. This is related to existence ...
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Vittal, P. R.
(2009-08-06)
Keilson's compensation function are extraordinarily useful for studying bounded processes. It's philosophy lies in converting a bounded process into an unbounded process by introducing the Compensation functions in the ...
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Uma, S. N.
(2009-08-06)
One of the most novel concepts in elementary particle physics is that of supersymmetry which ascribes a possible fundamental symmetry between fermions and bosons obeying different statistics. It was an assumption till ...
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Keshava Murthy, G. N.
(2009-08-05)
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 ...
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Geetha, P. K.
(, 2009-08-03)
The Thesis consists of two parts; Part 1 , devoted to Bernstein Problem of Weighted Approximation in the field Approximation theory; Part 2 deals with multiplier transformations associated with weighted spaces. Bernstein ...
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Mrigendra Singh Kushwaha
(The Institute of Mathematical Sciences, 2021)
Let g be a symmetrizable Kac-Moody Lie algebra. For each dominant integral
weight λ of g, let V λ denote the corresponding irreducible integrable highest weight
g-module and let v λ be a highest weight vector in V λ . ...
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Poornima, S.
(2009-08-05)
This thesis deals with the study of multiplier spaces of Segal Algebras, especially segal algebra's on the real line. The method of characterising multipliers of various classes of functions on the real line, chosen to ...
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Karthick Babu, C.G.
(The Institute of Mathematical Sciences, 2021)
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Sachin Sharma
(The Institute of Mathematical Sciences, 2013)
The author studies Lusztig's t-analogue of weight multiplicities associated to the irreducible integrable highest weight modules of affine Kac-Moody algebras. First, for the level one representation of twisted affine ...
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Surya Ramana, D.
(, 2009-11-02)
This thesis is an expository account of a proof of the theorem of R.C.Cowsik and M.V. Nori (1978), which asserts that every algebraic curve in an affine space over a field of positive characteristic is a set theoretic ...
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Subrahmanya, M.R.
(2009-08-05)
In 1968 Rivlin posed a problem on Algebraic Polynomial; "Characterise those n-tuples {P1, P2, ... P(n-1)}of algebraic polynomials such that the degree of Pj is j for j = 0,1,2,..., n-1., for which there exists a real ...