Type-dependent positive definite functions on free products of groups
Wojciech Młotkowski (1993)
Colloquium Mathematicae
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Displaying similar documents to “On extension of scalar valued positive definite functions on ordered groups.”
Type-dependent positive definite functions on free products of groups
Hahn's Embedding Theorem for orders and harmonic analysis on groups with ordered duals
Nakhlé Asmar, Stephen Montgomery-Smith (1996)
Colloquium Mathematicae
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Let G be a locally compact abelian group whose dual group Γ contains a Haar measurable order P. Using the order P we define the conjugate function operator on , 1 ≤ p < ∞, as was done by Helson [7]. We will show how to use Hahn’s Embedding Theorem for orders and the ergodic Hilbert transform to study the conjugate function. Our approach enables us to define a filtration of the Borel σ-algebra on G, which in turn will allow us to introduce tools from martingale theory into the analysis...
Criterion for a field to be abelian
J. Wójcik (1995)
Colloquium Mathematicae
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On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces.
Heikkilä, Seppo, Seikkala, Seppo (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś
John O'Neill (1996)
Colloquium Mathematicae
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Common extension of a family of group-valued, finitely additive measures
K. Bhaskara Rao, R. Shortt (1992)
Colloquium Mathematicae
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A note on the Perron instability theorem.
Naulin, Raúl, Vanegas, Carmen J. (1999)
Divulgaciones Matemáticas
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On the relation between ordered sets and Lorentz--Minkowski distances in real inner product spaces.
Demirel, Oğuzhan, Soytürk Seyrantepe, Emine (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Decomposition and disintegration of positive definite kernels on convex *-semigroups
Jan Stochel (1992)
Annales Polonici Mathematici
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The paper deals with operator-valued positive definite kernels on a convex *-semigroup whose Kolmogorov-Aronszajn type factorizations induce *-semigroups of bounded shift operators. Any such kernel Φ has a canonical decomposition into a degenerate and a nondegenerate part. In case is commutative, Φ can be disintegrated with respect to some tight positive operator-valued measure defined on the characters of if and only if Φ is nondegenerate. It is proved that a representing measure of...
On the existence of bounded continuous solution of Hammerstein integral equation
Azzeddine Bellour (2011)
Matematički Vesnik
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On generalized d'Alembert functional equation.
Mohamed Akkouchi, Allal Bakali, Belaid Bouikhalene, El Houcien El Qorachi (2006)
Extracta Mathematicae
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Let G be a locally compact group. Let σ be a continuous involution of G and let μ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equation D(μ) ∫G f(xty)dμ(t) + ∫G f(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G; where f: G → C to be determined is a measurable and essentially bounded function.