Martin Hallnäs

Associate Professor 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.


Showing 5 publications


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

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

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

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

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

Save references

If you have installed Zotero or Mendeley on your computer you can use a plugin to extract references from the publications you see.

Download plugins:

Showing 1 research projects


Quasi-invariants of finite Coxeter groups and integrable systems

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

There might be more projects where Martin Hallnäs participates, but you have to be logged in as a Chalmers employee to see them.