Results 1 to 10 of about 123,668 (117)
Vector valued information measures and integration with respect to fuzzy vector capacities [PDF]
Fuzzy Sets and Systems, 2019 [EN] Integration with respect to vector-valued fuzzy measures is used to define and study information measuring tools. Motivated by some current developments in Information Science, we apply the integration of scalar functions with respect to vector-valued fuzzy measures, also called vector capacities.
E.A. Sánchez Pérez, R. Szwedek
semanticscholar +5 more sources
On the theory of vector valued Loeb measures and integration
Journal of Functional Analysis, 1992 The author generalizes the construction of the Loeb measure associated to an internal measure space to the case, where the internal measure takes values in an internal Banach space. He develops a corresponding integration theory. Finally he gives two interesting applications to the standard theory of Banach space-valued measures: The first one is the ...
Yeneng Sun
openaire +2 more sources
A Vector Girsanov Result and its Applications to Conditional Measures via the Birkhoff Integrability [PDF]
Mediterranean Journal of Mathematics, 2018 Some integration techniques for real-valued functions with respect to vector measures with values in Banach spaces (and vice versa) are investigated to establish abstract versions of classical theorems of probability and stochastic processes.
D. Candeloro +2 more
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Abstract Integration with Respect to Measures and Applications to Modular Convergence in Vector Lattice Setting [PDF]
Results in Mathematics, 2021 A “Bochner-type” integral for vector lattice-valued functions with respect to (possibly infinite) vector lattice-valued measures is presented with respect to abstract convergences, satisfying suitable axioms, and some fundamental properties are studied ...
A. Boccuto, A. R. Sambucini
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Homogeneous Banach Spaces as Banach Convolution Modules over M(G)
Mathematics, 2022 This paper is supposed to form a keystone towards a new and alternative approach to Fourier analysis over LCA (locally compact Abelian) groups G.
Hans Georg Feichtinger
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Journal of Function Spaces, 2020 The aim of this study is to generalize moving average by means of Choquet integral. First, by employing nonadditive measures with δ − λ rules, the calculation of the moving average for a series of fuzzy numbers can be transformed into Choquet integration
Zengtai Gong +3 more
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Algebraic theory of vector-valued integration [PDF]
, 2011 We define a monad M on a category of measurable bornological sets, and we show how this monad gives rise to a theory of vector-valued integration that is related to the notion of Pettis integral.
R. B. Lucyshyn-Wright
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Singular Bilinear Integrals in Quantum Physics
Mathematics, 2015 Bilinear integrals of operator-valued functions with respect to spectral measures and integrals of scalar functions with respect to the product of two spectral measures arise in many problems in scattering theory and spectral analysis. Unfortunately, the
Brian Jefferies
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On fields inspired with the polar HSV - RGB theory of Colour [PDF]
, 2015 This paper was supported by Grant VEGA 2/0178/14 and by the Slovak-Ukrainian joint research project "Vector valued measures and integration in polarized vector ...
Haluška, Ján
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Quantum Equivalence of Auxiliary Field Methods in Supersymmetric Theories [PDF]
, 1999 Quantum corrections to Legendre transformations are shown to cancel to all orders in supersymmetric theories in path integral formalism. Using this result, lagrangians for auxiliary fields are generalized to non-quadratic forms.
Higashijima, Kiyoshi, Nitta, Muneto
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