Results 61 to 70 of about 13,441 (193)

Convergence of generalized eigenfunction expansions

Electronic Journal of Differential Equations, 2007
We present a simplified theory of generalized eigenfunction expansions for a commuting family of bounded operators and with finitely many unbounded operators.
Mayumi Sakata
doaj  

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

On the trace formula for Hecke operators on congruence subgroups, II [PDF]

, 2017
In a previous paper, we obtained a general trace formula for double coset operators acting on modular forms for congruence subgroups, expressed as a sum over conjugacy classes. Here we specialize it to the congruence subgroups $\Gamma_0(N)$ and $\Gamma_1(
Popa, Alexandru A.
core  

Reaction-Diffusion Processes as Physical Realizations of Hecke Algebras

, 1993
We show that the master equation governing the dynamics of simple diffusion and certain chemical reaction processes in one dimension give time evolution operators (Hamiltonians) which are realizations of Hecke algebras.
Baxter, ben-Avraham, Deguchi, Deguchi, Felderhof, Felderhof, Francisco C. Alcaraz, Ge, Glauber, Jones, Leyvraz, Lushnikov, Martin, Martin, Ovchinnikov, Perk, Privman, Schultz, Smoluchowski, Spouge, Toussaint, Vladimir Rittenberg   +21 more
core   +2 more sources

Smith theory and Hecke operators

Journal of Algebra, 2003
Let \(p\) be a prime. In this paper it is shown that the representation of the absolute Galois group of \(\mathbb{Q}\) induced from an \(\overline{\mathbb{F}}^\times_p\)-valued ray class character of the cyclotomic field \(\mathbb{Q}(\zeta_p)\) is attached to a Hecke eigenclass in the \(\text{mod\,}p\) cohomology of a torsion-free congruence subgroup ...
openaire   +1 more source

Hecke operators on weighted Dedekind symbols [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2006
Dedekind symbols generalize the classical Dedekind sums (symbols). The symbols are determined uniquely by their reciprocity laws up to an additive constant. There is a natural isomorphism between the space of Dedekind symbols with polynomial (Laurent polynomial) reciprocity laws and the space of cusp (modular) forms.
openaire   +3 more sources

Development of Respiratory Sinus Arrhythmia in Young Infants With Autism Spectrum Disorder, Preterm Birth, and Typical Development

Autism Research, Volume 18, Issue 11, Page 2292-2306, November 2025.
ABSTRACT Respiratory sinus arrhythmia (RSA) is a key index of parasympathetic function and environmental adaptability. Lower resting RSA has been linked to preterm (PT) birth in infancy and autism spectrum disorder (ASD) in childhood, yet RSA across the first 2 years in young infants born PT or later diagnosed with ASD remains unknown.
Jessica Bradshaw, John E. Richards, Julia Yurkovic‐Harding, Eilis McLaughlin   +3 more
wiley   +1 more source

Bridging the gap: unveiling key links between autism and anxiety symptoms in autistic children and youth using a network analysis in pooled data from four countries

Child and Adolescent Mental Health, Volume 30, Issue 4, Page 327-342, November 2025.
Background Autistic children experience significantly higher rates of anxiety compared to nonautistic children. The precise relations between autism characteristics and anxiety symptoms remain unclear in this population. Previous work has explored associations at the domain level, which involve examining broad categories or clusters of symptoms, rather
Anat Zaidman‐Zait, Matthew J. Hollocks, Connor M. Kerns, Iliana Magiati, Alana J. McVey, Isabel M. Smith, Rachael Bedford, Teresa Bennett, Eric Duku, Stelios Georgiades, Annie Richard, Tracy Vaillancourt, Lonnie Zwaigenbaum, Antonio Hardan, Robin Libove, Jacqui Rodgers, Mikle South, Emily Simonoff, Amy Van Hecke, Mirko Uljarević, Peter Szatmari   +20 more
wiley   +1 more source

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

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
openaire   +3 more sources