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Exceptional Set and Multifractal Analysis

Periodica Mathematica Hungarica, 1998
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Calculus on Cantor triadic Set (I)—exceptional set

Applied Mathematics-A Journal of Chinese Universities, 1998
In a previous paper (Part I) [Appl. Math., Ser. B (Engl. Ed.) 12, No. 4, 483-492 (1997; Zbl 0889.28003)] the author defined a derivative for a real-valued function \(f\) on a Cantor triadic set and introduced a Newton-Leibniz-type formula: \[ f(x)-f(0)=\sum_{k\geq 1}\left(\sum_{J\in S^k, J\leq x} \delta(J)\right)+\int_0^x f' dm, \] \noindent where m is
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TANGENTIAL GROWTH AND EXCEPTIONAL SETS IN THE DIRICHLET SPACE

Mathematical Proceedings of the Royal Irish Academy, 2012
We are concerned with the growth of 'f(z)' as z -> et0 through approach regions making tangential contact with the boundary of the unit disc at e10, where / is a holomorphic function in the classical Dirichlet space.
J. Twomey
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Paraprofessionals in exceptional student settings

New Directions for Community Colleges, 1979
AbstractParaprofessionals are being trained to conduct direct service work with handicapped individual.
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Dimension of exceptional sets

2000
Abstract A basic feature of many results in Diophantine approximation and about onedimensional continued fractions is the fact that a certain property is either true for almost all points x or false for almost all points x. Clearly, the fact that mod 1 is an ergodic transformation with respect to Lebesgue measure is related to many ...
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Exceptional Sets in Hartogs Domains

Canadian Mathematical Bulletin, 2005
AbstractAssume that Ω is a Hartogs domain in ℂ1+n, defined as Ω = ﹛(z, w) ∈ ℂ1+n : |z| < μ(w), w ∈ H﹜, where H is an open set in ℂn and μ is a continuous function with positive values in H such that –ln μ is a strongly plurisubharmonic function in H. Let Ωw = Ω ∩ (ℂ × ﹛w﹜).
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Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone

, 2001
In math.AG/0005152 a certain $t$-structure on the derived category of equivariant coherent sheaves on the nil-cone of a simple complex algebraic group was introduced (the so-called perverse $t$-structure corresponding to the middle perversity).
R. Bezrukavnikov
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On clusters and exceptional sets

Journal of Algebra and Its Applications
In this paper, we first study clusters in type [Formula: see text] by collecting them into a finite number of infinite families given by Dehn twists of their corresponding triangulations, and show that these families are counted by the Catalan numbers.
Kiyoshi Igusa, Ray Maresca
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Exceptional Sets in Harmonic Analysis

1992
“Exceptional” (or “thin”) sets are often encountered in works on harmonic analysis. Many deep investigations are devoted to them and many outstanding unsolved problems are connected with them. So also the division “Commutative Harmonic Analysis” of this series has not been able to do without an article especially devoted to them.
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Hausdorff dimension of exceptional sets

1998
Abstract Non-normal numbers. Exceptional sets in uniform distribution. The Besicovitch-Jarnik theorem. Generalizations with applications to the Duffin-Schaeffer problem and a two-variable problem. An exceptional set from Chapter 8. Until now we have concerned ourselves only with what is true for almost all numbers.
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