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Some Remarks on Harmonic Functions in Minkowski Spaces
Mathematics, 2019 We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
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Minkowski Weighted Score Functions of Intuitionistic Fuzzy Values
Mathematics, 2020 In multiple attribute decision-making in an intuitionistic fuzzy environment, the decision information is sometimes given by intuitionistic fuzzy soft sets.
Feng Feng +3 more
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Multidimensional continued fractions and a Minkowski function
Monatshefte Fur Mathematik, 2008 The Minkowski Question Mark function can be characterized as the unique homeomorphism of the real unit interval that conjugates the Farey map with the tent map. We construct an n-dimensional analogue of the Minkowski function as the only homeomorphism of
Giovanni Panti
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A Lipschitz condition for the width function of convex bodies in arbitrary Minkowski spaces
Applied Mathematics Letters, 2009 Studying first the Euclidean subcase, we show that the Minkowskian width function of a convex body in an n-dimensional (normed linear or) Minkowski space satisfies a specified Lipschitz ...
Horst Martini, Walter W Wenzel
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Variation and Minkowski dimension of fractal interpolation surface
Journal of Mathematical Analysis and Applications, 2008 The fractal interpolation surface on the rectangular domain is discussed in this paper. We study the properties of the oscillation and the variation of bivariate continuous functions.
Zhigang Feng
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The dual conformal box integral in Minkowski space
Nuclear Physics B, 2021 The dual conformal box integral in Minkowski space is not fully determined by the conformal invariants z and z¯. Depending on the kinematic region its value is on a ‘branch’ of the Bloch-Wigner function which occurs in the Euclidean case.
Luke Corcoran, Matthias Staudacher
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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Field theories on ρ-deformed Minkowski space-time
Journal of High Energy Physics, 2023 We study one-loop perturbative properties of scalar field theories on the ρ-Minkowski space. The corresponding star-product, together with the involution are characterized from a combination of Weyl quantization and defining properties of the convolution
Kilian Hersent, Jean-Christophe Wallet
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Rigorous reconstruction of gluon propagator in the presence of complex singularities
SciPost Physics Proceedings, 2022 It has been suggested that the Landau-gauge gluon propagator has complex singularities, which invalidates the K\"all\'en-Lehmann spectral representation.
Yui Hayashi, Kei-Ichi Kondo
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Massive spinning bosons on the celestial sphere
Journal of High Energy Physics, 2020 A natural extension of the Pasterski-Shao-Strominger (PSS) prescription is described, enabling the map of Minkowski space amplitudes with massive spinning external legs to the celestial sphere to be performed. An integral representation for the conformal
Y. T. Albert Law, Michael Zlotnikov
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