Results 61 to 70 of about 1,077,663 (191)
Discrete harmonic analysis on a Weyl alcove
, 2013 We introduce a representation of the double affine Hecke algebra at the critical level q=1 in terms of difference-reflection operators and use it to construct an explicit integrable discrete Laplacian on the Weyl alcove corresponding to an element in the
Emsiz, E., van Diejen, J. F.
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Stable‐limit partially symmetric Macdonald functions and parabolic flag Hilbert schemes
Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.Abstract The modified Macdonald functions H∼μ$\widetilde{H}_{\mu }$ are fundamental objects in modern algebraic combinatorics. Haiman showed that there is a correspondence between the (C∗)2$(\mathbb {C}^{*})^2$‐fixed points Iμ$I_{\mu }$ of the Hilbert schemes Hilbn(C2)$\mathrm{Hilb}_{n}(\mathbb {C}^2)$ and the functions H∼μ$\widetilde{H}_{\mu ...
Milo Bechtloff Weising, Daniel Orr
wiley +1 more source
Nonstandard representations of type C affine Hecke algebra from K-operators
, 2015 We construct nonstandard finite-dimensional representations of type C affine Hecke algebra from the viewpoint of quantum integrable models. There exists two classes of nonstandard solutions to the Yang-Baxter equation called the Cremmer-Gervais and ...
Motegi, Kohei
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Hecke operators on Drinfeld cusp forms
Journal of Number Theory, 2008 In this paper, we study the Drinfeld cusp forms for $ _1(T)$ and $ (T)$ using Teitelbaum's interpretation as harmonic cocycles. We obtain explicit eigenvalues of Hecke operators associated to degree one prime ideals acting on the cusp forms for $ _1(T)$ of small weights and conclude that these Hecke operators are simultaneously diagonalizable.
Li, Wen-Ching Winnie, Meemark, Yotsanan
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Small Molecular Dibenzochalcogenophenes as Potent Organic Emitters
Chemistry – A European Journal, Volume 31, Issue 56, October 8, 2025.This review compiles recent achievements and applications of purely organic small luminescent DBC. We present frequently employed functionalities and design strategies, accomplishing room temperature phosphorescence (RTP). In addition, we discuss the challenges for luminescent selenium and tellurium derivatives as well as the influence of commercial ...
Marco Schmiedtchen +3 more
wiley +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
A universal, non-commutative C*-algebra associated to the Hecke algebra of double cosets [PDF]
, 2011 Let G be a discrete group and $\Gamma$ an almost normal subgroup. The operation of cosets concatanation extended by linearity gives rise to an operator system that is embeddable in a natural C* algebra. The Hecke algebra naturally embeds as a diagonal of
Radulescu, Florin
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Journal of Advanced Nursing, Volume 81, Issue 9, Page 5996-6010, September 2025.ABSTRACT Aim To explore patients and nurses' experiences of digital self‐management support following participation in a remote patient monitoring intervention. Design An exploratory qualitative multimethod study. Methods The study was conducted at two Norwegian university hospitals between January 2022 and February 2023.
Hege Wathne +3 more
wiley +1 more source
Journal of Advanced Nursing, Volume 81, Issue 9, Page 5763-5792, September 2025.ABSTRACT Aim To systematically explore research on nurses' clinical decision‐making and factors influencing pressure injury prevention in hospitalised patients. Design Scoping review. Data Sources Medline full text, Cumulative Index to Nursing and Allied Health Literature Plus with full text, and Scopus.
Joanne Cordina, Kaye Rolls, Jenny Sim
wiley +1 more source
Transcendence of Hecke operators in the big Hecke algebra [PDF]
Duke Mathematical Journal, 2014 The paper under review proves an important transcendence theorem for Fourier coefficients of slope zero families of Hilbert modular forms, also known as \textit{Hida families} after the fundamental work of the author on this subject. To state the main results of this paper, let \(F\) be a totally real number field, \(p\) a prime number and \(\mathfrak ...
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