Results 41 to 50 of about 157 (102)
Wavelet transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 657-672, 1997., 1996 A generalized Fock space is introduced as it was developed by Schmeelk [1‐5], also Schmeelk and Takači [6‐8]. The wavelet transform is then extended to this generalized Fock space. Since each component of a generalized Fock functional is a generalized function, the wavelet transform acts upon the individual entry much the same as was developed by ...
John Schmeelk, Arpad Takači
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Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and ...
Yasushi Komori +2 more
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The Orthogonal Riesz Fractional Derivative
AxiomsThe aim of this paper is to extend the concept of the orthogonal derivative to provide a new integral representation of the fractional Riesz derivative. Specifically, we investigate the orthogonal derivative associated with Gegenbauer polynomials Cn(ν)(x)
Fethi Bouzeffour
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Journal of Geophysical Research: Atmospheres, Volume 130, Issue 12, 28 June 2025.Abstract Aerosols exert a net cooling effect on the climate system by reflecting solar radiation, both directly and indirectly through their role in cloud formation, known as aerosol‐cloud interactions. The multiscale nature of aerosol‐cloud interactions, and especially their mesoscale adjustments and associated challenges for their representation in ...
Meiling Cheng, Franziska Glassmeier
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Deformed Schur indices of BCD-type for $$\mathcal{N}=4$$ super Yang-Mills and symmetric functions
Journal of High Energy PhysicsWe investigate the deformed Schur index in four dimensional $$\mathcal{N}=4$$ super Yang-Mills theories with SO and Sp gauge groups, generalizing Hatsuda’s recent calculations.
Gao-fu Ren, Min-xin Huang
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Skew Howe duality and limit shapes of Young diagrams
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We consider the skew Howe duality for the action of certain dual pairs of Lie groups (G1,G2)$(G_1, G_2)$ on the exterior algebra ⋀(Cn⊗Ck)$\bigwedge (\mathbb {C}^{n} \otimes \mathbb {C}^{k})$ as a probability measure on Young diagrams by the decomposition into the sum of irreducible representations. We prove a combinatorial version of this skew
Anton Nazarov +2 more
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On Koornwinder classical orthogonal polynomials in two variables
Journal of Computational and Applied Mathematics, 2012 The analogue of Jacobi polynomials in two-variables was introduced by Koornwinder, who described seven classes of orthogonal polynomials from Jacobi weights. Koornwinder also considered these seven classes as two-variables analogues of the classical orthogonal polynomials in one variable.
Fernández, Lidia +2 more
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Generic generation of noise-driven chaos in stochastic time delay systems: Bridging the gap with high-end simulations. [PDF]
Sci Adv, 2022 Chekroun MD, Koren I, Liu H, Liu H.
europepmc +1 more source
The Virasoro fusion kernel and Ruijsenaars' hypergeometric function. [PDF]
Lett Math Phys, 2021 Roussillon J.
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A simple proof of Koornwinder’s addition formula for the little 𝑞-Legendre polynomials [PDF]
Proceedings of the American Mathematical Society, 1989 Recently Koornwinder found an addition formula for the little q q -Legendre polynomials by using Masuda et al.’s result that they are related to the matrix elements of the irreducible unitary representation of the twisted SU(2) {\text {SU(2)}} quantum group.
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