Martin Hallnäs
About Martin Hallnäs
My research is focused on integrable (or exactly solvable) systems and special functions. I am particularly interested in integrable many-particle systems of so-called Calogero-Moser type and their connections with (multivariate) hypergeometric functions and orthogonal polynomials, symmetric functions and random matrix theory.
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Quasi-invariant Hermite Polynomials and Lassalle-Nekrasov
Correspondence
M. V. Feigin, Martin Hallnäs, A. P. Veselov
Communications in Mathematical Physics - 2021-01-01 -
Orthogonality of super-Jack polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland
operators
F. Atai, Martin Hallnäs, E. Langmann
Bulletin of the London Mathematical Society - 2019-01-01 -
Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars–Schneider
systems
Tamas Görbe, Martin Hallnäs
Journal of Integrable Systems - 2018-01-01 -
Product formulas for the relativistic and nonrelativistic conical
functions
Martin Hallnäs, Simon Ruijsenaars
Representation theory, special functions and Painlevé equations. RIMS 2015, Kyoto, Japan, March 3-6, 2015, s. 195-245 - 2018-01-01 -
Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type II. The Two- and Three-Variable
Cases
Martin Hallnäs, Simon Ruijsenaars
International mathematics research notices - 2018-01-01 -
On the Spectra of Real and Complex Lamé
Operators
W. A. Haese-Hill, Martin Hallnäs, A. P. Veselov
Symmetry Integrability and Geometry-Methods and Applications - 2017-01-01