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| Dr Dinesh Singh | ||||||
Director, Mathematical Sciences Foundation |
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Vice-Chancellor Professor Adjunct Professor |
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Educational Qualifications |
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1975 - B.A. (H) Mathematics - St. Stephen's
College, University of Delhi |
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1977 - M.A. Mathematics - St. Stephen's College, University
of Delhi |
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1978 - M.Phil. Mathematics - University of Delhi |
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1981 - Ph.D., D.I.C. - Imperial College of Science Technology
& Medicine, London, UK |
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Research Interests |
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Functional Analysis, Harmonic Analysis, Operators and Function Theory |
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Details of Recent Publications |
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The Inequalities of Hardy and Hilbert (to appear) (with Vern I. Paulsen) |
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A General Lax-Halmos theorem on the Hardy Spaces (to appear) (with N. Sahni) |
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Function Theory in Real Hardy Spaces Mathematische Nachrichten (to appear) (with M. Raghupathi) |
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A Finite Multiplicity Helson-Lowdenslager-de Branges Theorem in L2. Studia Mathematica (to appear) (with Sneh lata and M. Mittal) |
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An article in Hindi on the Life of Evariste Galois; Ganitagya Evariste Galois; Heratnak Zindagi aur Maut Ki Kahani, Naya Path June 2009, 35-40. |
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A Constrained Nevanlinna-Pick interpolation problem. Indiana University Math. Journal 58(2), 2009, 709-732 (with K.Davidson, V. I. Paulsen, M. Raghupathi) |
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Harmonic Analysis on the Unit Circle: A Personal Perspective; The Mathematics Student, 76, 2007, 137-155 |
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Extensions of Bohr’s Inequality. Bull. London Math. Soc. 38 (2006), 991-999 (with Vern I. Paulsen) |
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The Spectrum in a Banach Algebra. Amer. Math. Monthly. 113 (2006) 756-758 |
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Modules over subalgebras of the disk algebra, Indiana University Mathematics Journal, 55(5), 2006, 1751-1766 (with Vern I. Paulsen) |
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The Infinitude of the Primes Amer. Math. Monthly, 111(2004), 1863. |
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On Bohr’s Inequality for Uniform Algebras. Proc. Amer. Math. Soc. 32 (2004) 493-512 (with Vern I. Paulsen) |
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On Bohr’s Inequality; Proc. London Math. Soc. 85 (2002), 493-512. (with G. Popescu and V. I. Paulsen) |
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A Helson-Lowdenslager-de Branges theorem in L^2; Proc. Amer. Math. Soc. 129 (2001), 1097-1103. (with Vern I. Paulsen) |
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De Branges Modules in H2(Ck); Harmonic Analysis and Hypergroups: Chief Ed. K.A. Ross; Birkhauser Verlag (1998) (with S. Agrawal) |
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Differentiation of Operator Functions and Perturbation Bounds; Communications in Mathematical Physics 191 (1998), 603-611 (with R.Bhatia and K.B.Sinha) |
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De Branges spaces contained in some Banach spaces of analytic functions; Illinois Journal of Mathematics, Vol. 39 (1995) (with S. Agrawal) |
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De Branges Modules in H2(Ck) of the Torus, in Functional Analysis and Operator Theory, Springer-Verlag, Germany. Volume 1511/1992, 55-74 (with B. S. Yadav and S. Agrawal) |
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Books Published |
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Wavelets and Allied Topics; Narosa 2001. (Joint Editor) |
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Functional Analysis & Operator Theory; Springer Verlag Lect. Notes in Math. Vol 1511, 1992. (Joint Editor
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Understanding Mathematics; Universities Press, Hyderabad, 2000. (with K. B. Sinha et al.) | |||||