EuDML | Browse

This paper deals with $ϕ (q)$ calculus which is an extension of finite operator calculus due to Rota, and leading results of Rota’s calculus are easily $ϕ$ -extendable. The particular case $ϕ_{n} (q) = {[n_{q^{1}}]}^{- 1}$ is known to be relevant for quantum group investigations. It is shown here that such $ϕ (q)$ umbral calculus leads to infinitely many new $ϕ$ -deformed quantum like oscillator algebra representations. The authors point to several references dealing with new applications of $q$ umbral and $ϕ (q)$ calculus in which new families of $ϕ (q)$ extensions...

Multiparametric oscillator Hamiltonians with exact bound states in infinite-dimensional space

Znojil, Miloslav (2005)

Proceedings of the 24th Winter School "Geometry and Physics"

Multisymplectic forms of degree three in dimension seven

Bureš, Jarolím, Vanžura, Jiří (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

A multisymplectic 3-structure on an $n$ -dimensional manifold $M$ is given by a closed smooth 3-form $ω$ of maximal rank on $M$ which is of the same algebraic type at each point of $M$ , i.e. they belong to the same orbit under the action of the group $G L (n, ℝ)$ . This means that for each point $x \in M$ the form $ω_{x}$ is isomorphic to a chosen canonical 3-form on $ℝ^{n}$ . R. Westwick [Linear Multilinear Algebra 10, 183–204 (1981; Zbl 0464.15001)] and D. Ž. Djoković [Linear Multilinear Algebra 13, 3–39 (1983; Zbl 0515.15011)] obtained...

Multisymplectic structures of degrese three of product type on 6-dimensional manifolds

Bureš, Jarolím (2004)

Proceedings of the 23rd Winter School "Geometry and Physics"

Musielak-Orlicz algebras

Hudzik, Henryk (1987)

Proceedings of the 14th Winter School on Abstract Analysis

Displaying 1 – 10 of 10

Currently displaying 1 – 10 of 10