Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables
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DOI: 10.1007/s00208-016-1511-1
Abstract: Let $${\mathscr {H}}_\infty $$H∞ be the set of all ordinary Dirichlet series $$D=\sum _n a_n n^{-s}$$D=∑nann-s representing bounded holomorphic functions on the right half plane. A completely multiplicative sequence $$(b_n)$$(bn) of complex numbers is said… read more here.
Keywords: sum; mathscr infty; dirichlet series; holomorphic functions ... See more keywords
Existence and uniqueness of $$\infty $$∞-harmonic functions under assumption of $$\infty $$∞-Poincaré inequality
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DOI: 10.1007/s00208-018-1747-z
Abstract: Given a complete metric measure space whose measure is doubling and supports an $$\infty $$∞-Poincaré inequality, and a bounded domain $$\Omega $$Ω in such a space together with a Lipschitz function $$f:\partial \Omega \rightarrow {\mathbb… read more here.
Keywords: infty; infty harmonic; space; poincar inequality ... See more keywords
Integration of Differential Graded Manifolds
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DOI: 10.1093/imrn/rnz004
Abstract: We consider the problem of integration of $L_\infty $-algebroids (differential non-negatively graded manifolds) to $L_\infty $-groupoids. We first construct a “big” Kan simplicial manifold (Fréchet or Banach) whose points are solutions of a (generalized) Maurer–Cartan… read more here.
Keywords: integration; integration differential; infty; ell ... See more keywords
The Structure of the Grothendieck Rings of Wreath Product Deligne Categories and their Generalisations
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DOI: 10.1093/imrn/rnz144
Abstract: Given a tensor category $\mathcal{C}$ over an algebraically closed field of characteristic zero, we may form the wreath product category $\mathcal{W}_n(\mathcal{C})$. It was shown in [10] that the Grothendieck rings of these wreath product categories… read more here.
Keywords: infty mathbb; mathcal infty; infty; mathbb ... See more keywords