Minimization of constrained quadratic forms in Hilbert spaces.
Pappas, Dimitrios (2011)
Annals of Functional Analysis (AFA) [electronic only]
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Displaying similar documents to “On quadratic integral equations of Urysohn type in Fréchet spaces.”
Minimization of constrained quadratic forms in Hilbert spaces.
On the representation of numbers by the direct sums of some quaternary quadratic forms.
Kachakhidze, N. (2001)
Georgian Mathematical Journal
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On indefinite binary quadratic forms and quadratic ideals.
Tekcan, Ahmet (2008)
Novi Sad Journal of Mathematics
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Quadratic functionals with a variable singular end point
Zuzana Došlá, PierLuigi Zezza (1992)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we introduce the definition of coupled point with respect to a (scalar) quadratic functional on a noncompact interval. In terms of coupled points we prove necessary (and sufficient) conditions for the nonnegativity of these functionals.
Pairs of additive quadratic forms modulo one
R. C. Baker, S. Schäffer (1992)
Acta Arithmetica
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On the representation of numbers by the direct sums of some binary quadratic forms.
Kachakhidze, N. (1998)
Georgian Mathematical Journal
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Dissident algebras
Ernst Dieterich (1999)
Colloquium Mathematicae
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Given a euclidean vector space V = (V,〈〉) and a linear map η: V ∧ V → V, the anti-commutative algebra (V,η) is called dissident in case η(v ∧ w) ∉ ℝv ⊕ ℝw for each pair of non-proportional vectors (v,w) ∈ . For any dissident algebra (V,η) and any linear form ξ: V ∧ V → ℝ, the vector space ℝ × V, endowed with the multiplication (α,v)(β,w) = (αβ -〈v,w〉+ ξ(v ∧ w), αw + βv + η(v ∧ w)), is a quadratic division algebra. Up to isomorphism, each real quadratic division algebra arises in this...
The circle method and pairs of quadratic forms
Henryk Iwaniec, Ritabrata Munshi (2010)
Journal de Théorie des Nombres de Bordeaux
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We give non-trivial upper bounds for the number of integral solutions, of given size, of a system of two quadratic form equations in five variables.