Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley +1 more source
p-adic vertex operator algebras. [PDF]
Res Number Theory, 2023 Franc C, Mason G.
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Ergodic decompositions of Dirichlet forms under order isomorphisms. [PDF]
J Evol Equ, 2023 Schiavo LD, Wirth M.
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Some further classes of pseudo-differential operators in the p-adic context and their applications. [PDF]
J Pseudodiffer Oper Appl, 2023 Torresblanca-Badillo A +1 more
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Fundamental solutions for semidiscrete evolution equations via Banach algebras. [PDF]
Adv Differ Equ, 2021 González-Camus J, Lizama C, Miana PJ.
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
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Data assimilation in operator algebras. [PDF]
Proc Natl Acad Sci U S A, 2023 Freeman D +4 more
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Results Math, 2023 Jiménez-Garrido J +3 more
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On The Banach Algebra of Bounded Linear Operators on a BK Space and Applications
, 2008 In this thesis we give some properties of Banach algebra of bounded operators B(X) where X is a BK space, and study the solvability of the equation Ax=b for b ∈ {sα, s◦α, sα(c), lp(α)} with α ∈ U+ and 1 ≤ p < ∞. We study the solvability of the equation Tax = b where b ∈ X(∆k) for an integer k ≥ 1, X ∈ {sα, s◦α, sα(c), lp(α)}, 1 ≤ p < ∞ and Ta is a ...
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