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Positive definite measures [PDF]
Proceedings of the American Mathematical Society, 1963 In this paper we prove two theorems relating positive definite measures to induced representations. The first shows how the injection of a positive definite measure on a topological group H into a containing locally compact group G in which H is closed gives rise to induced representations.
Robert J. Blattner
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Transporting positive definiteness
Acta Scientiarum Mathematicarum, 2022 This is a rough guide to the topic which might be worthy to develop further on. Expanding positive definiteness beyond its presupposed scope is intriguing due to a number of possible applications. The paper though looking at the first glance a little bit
F. H. Szafraniec
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Journal of Inequalities and Applications, 2019 Inspired by symmetric Cauchy tensors, we define fourth-order partially symmetric Cauchy tensors with their generating vectors. In this article, we focus on the necessary and sufficient conditions for the M-positive semi-definiteness and M-positive ...
Haitao Che, Haibin Chen, Yiju Wang
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Complexity, 2020 M-eigenvalues of fourth-order partially symmetric tensors play important roles in the nonlinear elastic material analysis and the entanglement problem of quantum physics.
Gang Wang, Linxuan Sun, Lixia Liu
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Tapping into Permutation Symmetry for Improved Detection of k-Symmetric Extensions [PDF]
Entropy, 2023 Symmetric extensions are essential in quantum mechanics, providing a lens through which to investigate the correlations of entangled quantum systems and to address challenges like the quantum marginal problem.
Youning Li +5 more
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On Positive Definite Kernels of Integral Operators Corresponding to the Boundary Value Problems for Fractional Differential Equations [PDF]
Entropy, 2022 In the spectral analysis of operators associated with Sturm–Liouville-type boundary value problems for fractional differential equations, the problem of positive definiteness or the problem of Hermitian nonnegativity of the corresponding kernels plays an
Mukhamed Aleroev, Temirkhan Aleroev
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Products of positive definite matrices. II [PDF]
Pacific Journal of Mathematics, 1967 C.S. Ballantine
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Positive Definiteness via Off-Diagonal Scaling of a Symmetric Indefinite Matrix. [PDF]
Psychometrika, 2011 Bentler PM, Yuan KH.
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On Dugundji's Notion of Positive Definiteness [PDF]
Proceedings of the American Mathematical Society, 1974 Dugundji’s notion of positive definiteness is generalized to nonnegative real-valued functions on a uniform space. Its relations with completeness and various notions of compactness are investigated. For an arbitrary uniform space X X , there may be lack of the right kind of lower semicontinuous real-valued functions on X ...
Chi Song Wong
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Strict Positive Definiteness of Convolutional and Axially Symmetric Kernels on d-Dimensional Spheres [PDF]
Journal of Fourier Analysis and Applications, 2021 The paper introduces new sufficient conditions of strict positive definiteness for kernels on d-dimensional spheres which are not radially symmetric but possess specific coefficient structures.
Martin Buhmann, Janin Jäger
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