Biography:

One of their most recent publications is Banach algebras, logarithms, and polynomials of convolution type. Which was published in journal Journal of Mathematical Analysis and Applications.

More information about A. Di Bucchianico research including statistics on their citations can be found on their Copernicus Academic profile page.

A. Di Bucchianico's Articles: (2)

Banach algebras, logarithms, and polynomials of convolution type

AbstractUsing elementary Banach algebra techniques, it is determined which elements of Banach algebras like l1(α), b(K), and A have logarithms. The Wiener-Lévy theorem will be used to answer the same question for more complicated Banach algebras like the Wiener algebra. These results will be applied to polynomials of convolution type and a generalization thereof.

Dominance refinements of the Smirnov two-sample test

AbstractWe prove the following conjecture of Narayana: there are no nontrivial dominance refinements of the Smirnov two-sample test if and only if the two sample sizes are relatively prime. We also count the number of natural significance levels of the Smirnov two-sample test in terms of the sample sizes and relate this to the Narayana conjecture. In particular, Smirnov tests with relatively prime sample sizes turn out to have many more natural significance levels than do Smirnov tests whose sample sizes are not relatively prime (for example, equal sample sizes).

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