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  • On operators close to isometries 
    CHAVAN, SAMEER (Institute of Mathematics Polish Academy of Sciences, 2008)
    We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive p-isometries, and certain alternating hyperexpansions are main ...
  • On a friedrichs extension related to unbounded subnormals-II 
    CHAVAN, SAMEER (Cambridge University Press, 2008-01)
    We study the Friedrichs extensions of unbounded cyclic subnormals. The main result of the present paper is the identification of the Friedrichs extensions of certain cyclic subnormals with their closures. This generalizes ...
  • Conjugacy Classes of Centralizers in G2 
    SINGH, ANUPAM KUMAR (Ramanujan Mathematical Society, 2008-01)
    Let k be a perfect fi eld of characteristic not 2. Let G be an algebraic group of type G_2 defi ned over k. In this paper we calculate centralizers of elements in anisotropic G_2. Using this, we show explicitly that there ...
  • A spectral exclusion principle for unbounded subnormals 
    CHAVAN, SAMEER (American Mathematical Society, 2009-01)
    We establish a Spectral Exclusion Principle for unbounded subnormals. As an application, we obtain some polynomial approximation results in the functional model spaces.
  • MINIMAL DEGREE SEQUENCE FOR TORUS KNOTS OF TYPE (p, q) 
    Madeti, Prabhakar; MISHRA, RAMA (World Scientific Publishing, 2009-04)
    In this paper we prove the following result: for coprime positive integers p and q with p < q, if r is the least positive integer such that 2p-1 and q + r are coprime, then the minimal degree sequence for a torus knot of ...
  • SCHOLAR-a Scientific Celebration Highlighting Open Lines of Arithmetic Research 
    Murty, R.M.; SINHA, KANEENIKA  (American Mathematical Society, 2009-04)
  • The Generalized Dedekind Determinant 
    Murty, M. Ram; SINHA, KANEENIKA (American Mathematical Society, 2010-01)
    The aim of this note is to calculate the determinants of certain matrices which arise in three different settings, namely from characters on finite abelian groups, zeta functions on lattices and Fourier coefficients of ...
  • The discrete logarithm problem in the group of non-singular circulant matrices 
    MAHALANOBIS, AYAN (De Gruyter, 2010-06)
    The discrete logarithm problem is one of the backbones in public key cryptography. In this paper we study the discrete logarithm problem in the group of circulant matrices over a finite field.
  • Splittings of free groups, normal forms and partitions of ends 
    Gadgil, Siddhartha; PANDIT, SUHAS (Indian Academy of Sciences, 2010-08)
    Splittings of a free group correspond to embedded spheres in the 3-manifold M = # k S 2 × S 1. These can be represented in a normal form due to Hatcher. In this paper, we determine the normal form in terms of crossings of ...
  • The Least Prime Congruent to One Modulo n 
    Thangadurai, R.; VATWANI, A. (Taylor & Francis, 2011-01)
    It is known that there are infinitely many primes congruent to 1 (mod n) for any integer n > 1. In this paper, we use an elementary argument to prove that the least such prime is at most 2ϕ(n) + 1 −1, where ϕ is the Euler ...
  • Some remarks on symplectic injective stability 
    BASU, RABEYA; Rao, Ravi A.; Chattopadhyay, Pratyusha (American Mathematical Society, 2011-01)
    It is shown that if $ A$ is an affine algebra of odd dimension $ d$ over an infinite field of cohomological dimension at most one, with $ (d +1)! A = A$, and with $ 4\vert(d -1)$, then Um $ _{d+1}(A) = e_1\textrm{Sp}_{d+1}(A)$. ...
  • Risk Minimizing Option Pricing for a Class of Exotic Options in a Markov-Modulated Market 
    Basak, Gopal K.; Ghosh, Mrinal K.; GOSWAMI, ANINDYA (Taylor & Francis, 2011-02)
    We address risk minimizing option pricing in a regime switching market where the floating interest rate depends on a finite state Markov process. The growth rate and the volatility of the stock also depend on the Markov ...
  • The great Picard's theorem and the uniformization theorem 
    MAGUDEESWARI EASWARAN, LAKSHMI PRIYA (2011-04)
  • Covering arrays on graphs and extremal set theory 
    PRASAD, NAVI (2011-04)
  • Group construction of covering arrays 
    GUPTA, RUCHI (2011-05)
    There has been a lot of research on covering arrays in the last two decades and most of it includes construction, application and generalization of covering arrays. The main focus of this thesis is the group construction ...
  • Classes of permutation polynomials over finite fields 
    CHAUHAN, GAURAV (2011-05)
    This thesis contains some results for permutation polynomials over finite fields. In this thesis is contained the synopsis of known results and some knew classes of permutation polynomials over finite fields have been provided.
  • Mcmc application to stochastic volatility model 
    GUPTA, ANKUR (2011-05)
    The main objective of my Masters thesis is to study the Dynamic structure that return prices or exchange rates exhibits. Intensive studies have been conducted for inferring the parameters and missing information. [1] ...
  • Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q) 
    Gill, Nick; SINGH, ANUPAM KUMAR (De Gruyter, 2011-05)
    We classify the real and strongly real conjugacy classes in PGLn(q), PSLn(q), and all quasi-simple covers of PSLn(q). In each case we give a formula for the number of real, and the number of strongly real, conjugacy ...
  • Real and strongly real classes in SLn(q) 
    Gill, Nick; SINGH, ANUPAM KUMAR (De Gruyter, 2011-05)
    We classify the real and strongly real conjugacy classes in GLn(q) and SLn(q). In each case we give a formula for the number of real, and the number of strongly real, conjugacy classes.This paper is the first of two that ...
  • What stabilizes corruption- A game theoretic approach 
    VASHISHTHA, SHAMBHAVI (2011-05)