Browsing by Main Subject "Mathematics"

Browsing by Main Subject "Mathematics"

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  • Dray, T.; Manogue, C.A. (2012-07-05)
    Notes by: Biswajit Chakraborty & Sumitra Ranganathan. These notes are based on a series of lectures given by the authors at the Institute of Mathematical Sciences in Madras. The lectures were intended to be pedagogical ...
  • Krishna, M., Ed. (2012-07-25)
    In its seven decades of existence, Quantum Mechanics still has many results which are believed not rigorously established, though routinely used in practice by Physicists. The question of unitarity of the S matrix is one ...
  • 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 ...
  • Shapiro, Harold S. (2010-08-19)
    These notes are based on lectures given at the Institute during January and February of 1967. In essence they constitute an introductory course in the theory of approximation(degree of approximation). The discussion is ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Gudagudi, B. R. (2012-05-31)
    This report concentrates entirely on the concept of pathos graphs of a graph. The emphasis of the work has been on the graph theoretic properties of these special kinds of graphs. Various characterizations and other results ...
  • Anish Mallick (The Institute of Mathematical Sciences, 2016)
  • Dhriti Ranjan Dolai (The Institute of Mathematical Sciences, 2015)
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 . ...
  • 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 ...
  • Karthick Babu, C.G. (The Institute of Mathematical Sciences, 2021)