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  • 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 ...
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • Murty, R.M.; SINHA, KANEENIKA  (American Mathematical Society, 2009-04)
  • 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 ...
  • 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.
  • 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 ...
  • 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 ...
  • 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)$. ...
  • 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 ...
  • 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 ...
  • 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 ...
  • BASU, RABEYA (World Scientific Publishing, 2011-07)
    When R is a commutative ring with identity, and if k ∈ ℕ, with kR = R, then it was shown in [C. Weibel, Mayer–Vietoris Sequence and Module Structure on NK0, Lecture Notes in Mathematics, Vol. 854 (Springer, 1981), pp. ...
  • Kulshrestha, Amit; SINGH, ANUPAM KUMAR (Indian Mathematical Society, 2011-11)
    In this article we try to explore the relation between real conjugacy classes and real characters of finite groups at more refined level. This refinement is in terms of properties of groups such as strong reality and total ...
  • SPALLONE, STEVEN (Mathematical Sciences Publishers, 2012-01)
    Let G be a reductive algebraic group over ℚ, and suppose that Γ ⊂ G(ℝ) is an arithmetic subgroup defined by congruence conditions. A basic problem in arithmetic is to determine the multiplicities of discrete series ...
  • MAITY, SOUMEN (Institute of Electronics, Information and Communication Engineers, 2012-01)
    In most software development environments, time, computing and human resources needed to perform the testing of a component is strictly limited. In order to deal with such situations, this paper proposes a method of creating ...
  • Bucur, A.; Chantal, D.; Feigon, B.; Matilde Lalín; SINHA, KANEENIKA (International Press, 2012-01)
    We study the distribution of the zeroes of the zeta functions of the family of Artin–Schreier covers of the projective line over Fq when q is fixed and the genus goes to infinity. We consider both the global and the ...
  • Jenkins, Adrian; SPALLONE, STEVEN (World Scientific Publishing, 2012-04)
    In this note, we consider locally invertible analytic mappings of a two-dimensional space over a non-archimedean field. Such a map is called semi-hyperbolic if its Jacobian has eigenvalues λ1 and λ2 so that λ1 = 1 and |λ2| ...

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