Paley–Wiener theorems for the Dunkl transform
M de Jeu - Transactions of the American Mathematical Society, 2006 - ams.org
We conjecture a geometrical form of the Paley–Wiener theorem for the Dunkl transform and
prove three instances thereof, by using a reduction to the one-dimensional even case, shift …
prove three instances thereof, by using a reduction to the one-dimensional even case, shift …
Brezin-Gross-Witten model as “pure gauge” limit of Selberg integrals
A Mironov, A Morozov, S Shakirov - Journal of High Energy Physics, 2011 - Springer
The AGT relation identifies the Nekrasov functions for various\(\mathcal {N}= 2\) SUSY
gauge theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev matrix …
gauge theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev matrix …
Spherical functions approach to sums of random Hermitian matrices
ABJ Kuijlaars, P Román - International Mathematics Research …, 2019 - academic.oup.com
We present an approach to sums of random Hermitian matrices via the theory of spherical
functions for the Gelfand pair. It is inspired by a similar approach of Kieburg and Kösters for …
functions for the Gelfand pair. It is inspired by a similar approach of Kieburg and Kösters for …
An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type
P Ganguly, S Thangavelu - Annali di Matematica Pura ed Applicata (1923 …, 2022 - Springer
Let G be a noncompact semisimple Lie group with finite centre. Let X= G/K be the associated
Riemannian symmetric space and assume that X is of rank one. The generalized spectral …
Riemannian symmetric space and assume that X is of rank one. The generalized spectral …
Segal-Bargmann transforms associated with finite Coxeter groups
Using a polarization of a suitable restriction map, and heat-kernel analysis, we construct a
generalized Segal-Bargmann transform associated with every finite Coxeter group G on ℝ …
generalized Segal-Bargmann transform associated with every finite Coxeter group G on ℝ …
Asymptotic behavior of the multiplicative counterpart of the Harish-Chandra integral and the -transform
P Mergny, M Potters - arXiv preprint arXiv:2007.09421, 2020 - arxiv.org
In this note, we study the asymptotic of spherical integrals, which are analytical extension in
index of the normalized Schur polynomials for $\beta= 2$, and of Jack symmetric …
index of the normalized Schur polynomials for $\beta= 2$, and of Jack symmetric …
[PDF][PDF] Asymptotic harmonic analysis on the space of square complex matrices
M Rabaoui - arXiv preprint arXiv:0806.0541, 2008 - arxiv.org
arXiv:0806.0541v1 [math.RT] 3 Jun 2008 Page 1 arXiv:0806.0541v1 [math.RT] 3 Jun 2008
ASYMPTOTIC HARMONIC ANALYSIS ON THE SPACE OF SQUARE COMPLEX MATRICES …
ASYMPTOTIC HARMONIC ANALYSIS ON THE SPACE OF SQUARE COMPLEX MATRICES …
Rectangular matrix additions in low and high temperatures
J Xu - arXiv preprint arXiv:2303.13812, 2023 - arxiv.org
We study the addition of two random independent $ M\times N $ rectangular random
matrices with invariant distributions in two limit regimes, where the parameter beta (inverse …
matrices with invariant distributions in two limit regimes, where the parameter beta (inverse …
An explicit formula for free multiplicative Brownian motions via spherical functions
M Auer, M Voit - arXiv preprint arXiv:2408.00535, 2024 - arxiv.org
After some normalization, the logarithms of the ordered singular values of Brownian motions
on $ GL (N,\mathbb F) $ with $\mathbb F=\mathbb R,\mathbb C $ form Weyl-group invariant …
on $ GL (N,\mathbb F) $ with $\mathbb F=\mathbb R,\mathbb C $ form Weyl-group invariant …
On Segal–Bargmann analysis for finite Coxeter groups and its heat kernel
SB Sontz - Mathematische Zeitschrift, 2011 - Springer
We prove identities involving the integral kernels of three versions (two being introduced
here) of the Segal–Bargmann transform associated to a finite Coxeter group acting on a …
here) of the Segal–Bargmann transform associated to a finite Coxeter group acting on a …