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Diametral dimension of some pseudoconvex multiscale spaces

Jean-Marie AubryFrançoise Bastin — 2010

Studia Mathematica

Stemming from the study of signals via wavelet coefficients, the spaces S ν are complete metrizable and separable topological vector spaces, parametrized by a function ν, whose elements are sequences indexed by a binary tree. Several papers were devoted to their basic topology; recently it was also shown that depending on ν, S ν may be locally convex, locally p-convex for some p > 0, or not at all, but under a minor condition these spaces are always pseudoconvex. We deal with some more sophisticated...

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