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Rupam Karmakar
(The Institute of Mathematical Sciences, 2020)
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Sunil L Naik
(The Institute of Mathematical Sciences, 2023)
The focal point of our thesis is to study prime divisors of non-zero Fourier coefficients of Hecke eigenforms. Let f be a non-CM normalized Hecke eigenform and for any natural number n, let a f (n) be its n-th Fourier ...
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Arijit Dey
(, 2013-01-25)
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Madhushree Basu
(The Institute of Mathematical Sciences, 2013)
This thesis is based on a few observations on applications and analogues
of certain features of Probability theory in non-commutative W*-probability
spaces. A non-commutative W* probability space is a pair (A, φ ) of an ...
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Nabanita Ray
(The Institute of Mathematical Science, 2020)
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Indumathi, V.
(2009-08-05)
This thesis deals with proximinal and chebychev subspaces of finite codimension in general normed linear spaces.
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Oorna Mitra
(The Institute of Mathematical Sciences, 2020)
This thesis addresses two problems, which are independent of each other.
In the first part, we study QI(Z n ), the quasi-isometry group of the finitely
generated abelian group Z n for n ≥ 2. We show that certain groups ...
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Pooja Singla
(The Institute of Mathematical Sciences, 2010)
The irreducible complex representations and conjugacy classes of general linear groups over principal ideal local rings of length two with a fixed finite residue field is studied in this thesis. A canonical correspondence ...
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Arunkumar, G.
(The Institute of Mathematical Sciences, 2018)
Borcherds-Kac-Moody algebras (Borcherds algebras in short) were introduced by R.
Borcherds as a natural generalization of Kac-Moody algebras. The theory of Borcherds
algebras gained much interest because of its application ...
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Preena, Samuel
(The Institute of Mathematical Sciences, 2011)
From the combinatorial characterizations of right, left, and two sided Kazhdan-Lusztig cells of the symmetric groups, RSK bases are constructed for certain quotients by two sided ideals of the group ring and the Hecke ...
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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 ...