Hyperfield extensions, characteristic one and the Connes-Consani plane connection [PDF]
, 2014 Inspired by a recent paper of Alain Connes and Catherina Consani which connects the geometric theory surrounding the elusive field with one element to sharply transitive group actions on finite and infinite projective spaces ("Singer actions"), we ...
Thas, Koen
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Mehler Semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups [PDF]
, 2009 For finite dimensional vector spaces it is well-known that there exists a 1-1-correspondence between distributions of Ornstein-Uhlenbeck type processes (w.r.t. a fixed group of automorphisms) and (background driving) Lévy processes.
Hazod, Wilfried
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From monoids to hyperstructures: in search of an absolute arithmetic
, 2010 We show that the trace formula interpretation of the explicit formulas expresses the counting function N(q) of the hypothetical curve C associated to the Riemann zeta function, as an intersection number involving the scaling action on the adele class ...
Connes, Alain, Consani, Caterina
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A positive radial product formula for the Dunkl kernel
, 2002 It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is
Rösler, Margit
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Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials
, 2019 In the theory of orthogonal polynomials, as well as in its intersection with harmonic analysis, it is an important problem to decide whether a given orthogonal polynomial sequence $(P_n(x))_{n\in\mathbb{N}_0}$ satisfies nonnegative linearization of ...
Kahler, Stefan
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, 2019 Let ${\mathcal A}$ be a Banach algebra and let $\varphi $ be a non-zero character on ${\mathcal A}$. Suppose that ${\mathcal A}_M$ is the closure of the faithful Banach algebra ${\mathcal A}$ in the multiplier norm. In this paper, topologically left invariant $\varphi$-means on ${\mathcal A}_M^*$ are defined and studied.
Nemati, Mehdi, Rizi, Maryam Rajaei
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Relationship between GFR and albuminuria in stage 1 hypertension. [PDF]
Clin J Am Soc Nephrol, 2013 Palatini P +8 more
europepmc +1 more source
Revealing Neurocomputational Mechanisms of Reinforcement Learning and Decision-Making With the hBayesDM Package. [PDF]
Comput Psychiatr, 2017 Ahn WY, Haines N, Zhang L.
europepmc +1 more source
Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials [PDF]
, 2010 Voit, Michael
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Completely semiprime hyperideals in ternary semi hypergroups
AIP Conference Proceedings, 2021In this article we study some properties of principal hyperideal; completely semiprime hyperideal of a ternary semi hypergroup and characterized them. The interrelation among them is examined in ternary semi hypergroups extending the related results from semigroups.
Seetha Mani Popuri +3 more
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