0000000001110007

AUTHOR

Jaime Castillo-medina

showing 2 related works from this author

Unfolding the double shuffle structure of q-multiple zeta values

2015

We exhibit the double q-shuffle structure for the qMZVs recently introduced by Y. Ohno, J. Okuda and W. Zudilin.

Pure mathematicsNumber theory11M32 39A13Mathematics - Number TheoryGeneral MathematicsRegularization (physics)Jackson integralFOS: MathematicsNumber Theory (math.NT)[MATH]Mathematics [math]16. Peace & justice[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]Mathematics
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Isometries between spaces of multiple Dirichlet series

2019

Abstract In this paper we study spaces of multiple Dirichlet series and their properties. We set the ground of the theory of multiple Dirichlet series and define the spaces H ∞ ( C + k ) , k ∈ N , of convergent and bounded multiple Dirichlet series on C + k . We give a representation for these Banach spaces and prove that they are all isometrically isomorphic, independently of the dimension. The analogous result for A ( C + k ) , k ∈ N , which are the spaces of multiple Dirichlet series that are convergent on C + k and define uniformly continuous functions, is obtained.

symbols.namesakePure mathematicsUniform continuityApplied MathematicsBounded functionDimension (graph theory)symbolsBanach spaceRepresentation (mathematics)AnalysisDirichlet seriesMathematicsJournal of Mathematical Analysis and Applications
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