Peak Points for Algebras on Circled Sets.
On an Estimate of Axler and Shapiro.
The algebra of bounded analytic functions on a Riemann surface.
Cluster values of analytic functions along paths.
Spectra of algebras of analytic functions on a Banach spaces.
Arithmetic based fractals associated with Pascal's triangle.
Our goal is to study Pascal-Sierpinski gaskets, which are certain fractal sets defined in terms of divisibility of entries in Pascal's triangle. The principal tool is a carry rule for the addition of the base-q representation of coordinates of points in the unit square. In the case that q = p is prime, we connect the carry rule to the power of p appearing in the prime factorization of binomial coefficients. We use the carry rule to define a family of fractal subsets Bqr of the unit square, and we...
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