Results 271 to 280 of about 3,199,416 (302)
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Derivative of Singular Set-Functions
Canadian Journal of Mathematics, 1965The purpose of this paper is to prove that the general derivative of a completely additive singular set-function defined on certain measurable subsets of an abstract measure space is zero almost everywhere. As a corollary the celebrated Lebesgue decomposition theorem has been sharpened.This result is well known for set-functions defined on measurable ...
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On the minimization of singular quadratic functional
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981SynopsisA quadratic functional Q is considered which is defined by an integral on a subset of functions in a weighted Hilbert space. The functional Q is minimized subject to the Dirichlet index of the associated differential operator being minimal. The infimum of Q is shown to be the least point in the spectrum of a certain self-adjoint operator which ...
Bradley, John S. +2 more
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Removal of singularities of plurisubharmonic functions
Mathematical Notes of the Academy of Sciences of the USSR, 1991See the review in Zbl 0729.32005.
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ON SEPARATION OF SINGULARITIES OF MEROMORPHIC FUNCTIONS
Mathematics of the USSR-Sbornik, 1986Let E be an arbitrary proper continuum in \({\bar {\mathbb{C}}}\), \(\lambda =\{D_ k\}^ a \)finite collection of bounded pairwise distinct connected components of \({\bar {\mathbb{C}}}\setminus E\), f a function meromorphic in each domain \(D_ k\) and continuous in some neighbourhood of E, \(F_{\lambda}\) be the sum of principal parts of the Laurent ...
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Convolutions of Singular Distribution Functions
Ukrainian Mathematical Journal, 2004The author constructs a new example of a sequence \(F_n\) of singular distributions, such that all finite convolutions \(F_1*F_2*\cdots *F_n\) (and even all finite convolutions containing distributions of transformed random variables \(\xi_k^i=\alpha_k^i\xi_k+\beta_k^i\), \(\alpha_k^i,\beta_k^i\in \mathbb R\), \(\alpha_k^i\neq 0\), where \(F_k ...
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On a Singular Monotone Function
Journal of the London Mathematical Society, 1937van Kampen, E. R., Wintner, Aurel
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Singular Modifications Of A Classical Function
Acta Mathematica HungaricazbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Adaptive Approximation of Functions with Singularities
1990Summary: Direct and inverse theorems for the approximation of functions by means of splines with free knots and rational fractions are presented. Classes defined by means of a given rate of approximation by splines and rational fractions are described in terms of spaces of functions that have bounded (generalized) variation, or Besov spaces.
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