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The alternating PBW basis for the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$

open access: yes, 2019
The positive part $U^+_q$ of $U_q(\widehat{\mathfrak{sl}}_2)$ has a presentation with two generators $A,B$ that satisfy the cubic $q$-Serre relations. We introduce a PBW basis for $U^+_q$, said to be alternating.
Terwilliger, Paul
core   +1 more source

The Hilbert Transform of a Measure [PDF]

open access: yes, 2009
Let $\fre$ be a homogeneous subset of $\bbR$ in the sense of Carleson. Let $\mu$ be a finite positive measure on $\bbR$ and $H_\mu(x)$ its Hilbert transform.
Poltoratski, Alexei   +2 more
core   +2 more sources

On the Converse of Pansu's Theorem. [PDF]

open access: yesArch Ration Mech Anal
De Philippis G   +4 more
europepmc   +1 more source

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