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Splitting the Riesz basis condition for systems of dilated functions]{Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series
Jorge Antezana, Daniel Carando, Melisa Scotti
Inspired by the work of Hedenmalm, Lindqvist and Seip, we consider different properties of dilations systems of a fixed function . More precisely, we study when the…
Algebras and Banach spaces of Dirichlet series with maximal Bohr's strip
Thiago R. Alves, Leonardo Brito, Daniel Carando
We study linear and algebraic structures in sets of Dirichlet series with maximal Bohr's strip. More precisely, we consider a set of Dirichlet series which are uniform…
Decoupling inequalities with exponential constants
Daniel Carando, Felipe Marceca, Pablo Sevilla-Peris
Decoupling inequalities disentangle complex dependence structures of random objects so that they can be analyzed by means of standard tools from the theory of independent random va…
Vector-valued general Dirichlet series
D. Carando, A. Defant, F. Marceca +1
Opened up by early contributions due to, among others, H. Bohr, Hardy-Riesz, Bohnenblust-Hille, Neder and Landau the last 20 years show a substantial revival of systematic research…
Holomorphic functions with large cluster sets
Thiago R. Alves, Daniel Carando
We study linear and algebraic structures in sets of bounded holomorphic functions on the ball which have large cluster sets at every possible point (i.e., every point on the sphere…
A note on the symmetry of sequence spaces
Daniel Carando, Martín Mazzitelli, Pablo Sevilla-Peris
We give a self-contained treatment of symmetric Banach sequence spaces and some of their natural properties. We are particularly interested in the symmetry of the norm and the exis…