Results 41 to 50 of about 213 (150)
A new functional calculus for noncommuting operators
Journal of Functional Analysis, 2008 In this paper we use the notion of slice monogenic functions \cite{slicecss} to define a new functional calculus for an $n$-tuple $T$ of not necessarily commuting operators. This calculus is different from the one discussed in \cite{jefferies} and it allows the explicit construction of the eigenvalue equation for the $n$-tuple $T$ based on a new notion
Struppa, D. +5 more
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
An Alternative Approach to Spontaneous Photon Triplets Generation
Advanced Physics Research, Volume 5, Issue 3, March 2026.Day by day, communication and computing technologies are progressing at a lightning speed, which is particularly true of the quantum version of these technologies (QIST). Increasingly, these technologies are emerging from unusual and sometimes bewildering quantum optical effects, which are based on exotic quantum physical theories.
Serge Gauvin
wiley +1 more source
Commutativity of the Leibniz rules in fractional calculus
Computers & Mathematics with Applications, 2000 Many earlier works on the subject of fractional calculus (that is, differentiation and integration of an \textit{arbitrary} real or complex order) provide interesting accounts of the theory and applications of fractional calculus operators in several areas of mathematical analysis (such as ordinary and partial differential equations, integral equations,
Tu, Shih-Tong +2 more
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Non-commutative Functional Calculus and Spectral Theory
, 2015 We develop a functional calculus for $d$-tuples of non-commuting elements in a Banach algebra. The functions we apply are free analytic functions, that is nc functions that are bounded on certain polynomial polyhedra.
Agler, Jim, McCarthy, John E.
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
High Voltage DC Active Current Injection to Simulate Geomagnetically Induced Currents in New Zealand
Space Weather, Volume 24, Issue 3, March 2026.Abstract This study investigates the effects of geomagnetically induced currents (GIC) on New Zealand's electrical infrastructure via an intentional ground injection of direct current (DC) from a high voltage DC converter station. GIC manifests as quasi‐DC currents within power systems, potentially causing transformer saturation, increased reactive ...
Soren Subritzky +11 more
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Non-commutative Calculus and Discrete Physics
, 2003 LaTeX document, 56 pages, 1 ...
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Linear Diophantine equations and conjugator length in 2‐step nilpotent groups
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
wiley +1 more source