Results 11 to 20 of about 2,035,992 (324)
From linear to metric functional analysis
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Metric geometry is a considerable extension of Riemannian geometry that, in recent decades, has proven very useful. A newer direction described in this article can moreover be viewed as an extension of functional analysis.
A. Karlsson
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Eigenvalues of Elliptic Functional Differential Systems via a Birkhoff–Kellogg Type Theorem [PDF]
Mathematics, 2020 Motivated by recent interest on Kirchhoff-type equations, in this short note we utilize a classical, yet very powerful, tool of nonlinear functional analysis in order to investigate the existence of positive eigenvalues of systems of elliptic functional ...
G. Infante
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Mathematics, 2020 Ground level concentrations of nitrogen oxide (NOx) can act as an indicator of air quality in the urban environment. In cities with relatively good air quality, and where NOx concentrations rarely exceed legal limits, adverse health effects on the ...
J. Martínez Torres +5 more
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Mathematical Analysis of Modulating Functions
, 2021 The Modulating Function Method finds a variety of applications in the fields of estimating parameters, system states and unknown signals. In general, the approach is based on an integral transform approach over a fixed or moving time horizon. Its major advantages include maintaining a continuous time perspective, robustness against measurement noise as
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Cohomology of Jordan triples via Lie algebras [PDF]
, 2015 We develop a cohomology theory for Jordan triples, including the infinite dimensional ones, by means of the cohomology of TKK Lie algebras. This enables us to apply Lie cohomological results to the setting of Jordan triples.
Chu, Cho-Ho, Russo, Bernard
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The Fshape Framework for the Variability Analysis of Functional Shapes [PDF]
Foundations of Computational Mathematics, 2014 This article introduces a full mathematical and numerical framework for treating functional shapes (or fshapes) following the landmarks of shape spaces and shape analysis.
B. Charlier, N. Charon, A. Trouvé
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Entropic Projections and Dominating Points [PDF]
, 2010 Generalized entropic projections and dominating points are solutions to convex minimization problems related to conditional laws of large numbers.
Borwein +22 more
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A Mathematical Problem for Security Analysis of Hash Functions and Pseudorandom Generators [PDF]
International Journal of Foundations of Computer Science, 2011 In this paper, we specify a class of mathematical problems, which we refer to as “Function Density Problems” (FDPs, in short), and point out novel connections of FDPs to the following two cryptographic topics; theoretical security evaluations of keyless hash functions (such as SHA-1), and constructions of provably secure pseudorandom generators (PRGs ...
Toshiaki Maeno +5 more
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, 2017 A recent QCD formulation that is non-perturbative, finite, gauge-invariant, exact emerged from Schwinger's Generating Functional. A first test of the validity of this formulation is provided here against elastic proton-proton scattering at the ...
Tsang, Peter H.
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The Christoffel–Darboux Kernel for Data Analysis
, 2022 The Christoffel–Darboux kernel, a central object in approximation theory, is shown to have many potential uses in modern data analysis, including applications in machine learning.
J. Lasserre, Edouard Pauwels, M. Putinar
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