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The continuation method is used to investigate the existence of solutions to Fredholm integral equations in locally convex spaces.. 2000 Mathematics Subject
We also introduce the notion of the first difference of a binary sequence and characterize first differences of our class of Thue-Morse type sequences.. Finally, we define the
We first prove two results which both imply that for any sequence B of asymptotic density zero there exists an infinite sequence A such that the sum of any number of distinct
The aim of this paper is to develop Stein’s method for exchangeable pairs (see [ 20 ] ) for a rich class of distributional approximations and thereby prove Berry-Esseen bounds for
Theorem 1. ., be an arbitrary sequence of elements of Ω i.e.. The result in b) suggest an obvious algorithm for generating perfect samples from the common row-distribution of M ω
Moreover we proved the existence of certain plane algebraic curves with points such that the corresponding self-similar measures get singular and have Hausdorff dimension less than
• The integration of equation ( 2 ), which is a feature of the calculation of the symmetries of all linear ordinary differential equations of maximal symmetry [10], by means of
Another enduring theme of Tom’s work was exploiting the implications of invariance for spectral data. For example, on the round sphere the conformal covariance relation satisfied