Martin Hallnäs

Universitetslektor at Chalmers, Mathematical Sciences, Analysis and Probability Theory

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.

Source: chalmers.se

Showing 5 publications

2019

Orthogonality of super-Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators

Farrokh Atai, Martin Hallnäs, Edwin Langmann
Bulletin of the London Mathematical Society, p. 1-18
Journal article
2018

Product formulas for the relativistic and nonrelativistic conical functions

Martin Hallnäs, Simon Ruijsenaars
Advanced Studies in Pure Mathematics. Vol. 76, p. 195-245
Paper in proceedings
2018

Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars–Schneider systems

Tamás Görbe, Martin Hallnäs
Journal of Integrable Systems. Vol. 3 (1), p. 1-29
Journal article
2018

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. Vol. 2018 (14), p. 4404-4449
Journal article
2017

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. Vol. 13, p. Article no. 049 -
Journal article

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Showing 1 research projects

2019–2022

Quasi-invariants of finite Coxeter groups and integrable systems

Martin Hallnäs Analysis and Probability Theory
Swedish Research Council (VR)

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