Martin Hallnäs

Associate Professor at Analysis and Probability Theory
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Showing 14 publications

2025

Calogero—Moser—Sutherland Systems

Martin Hallnäs
Encyclopedia of Mathematical Physics (2nd edition)
Book chapter
2025

Elliptic Integrable Systems and Special Functions

Martin Hallnäs, Edwin Langmann
Encyclopedia of Mathematical Physics (2nd edition)
Book chapter
2024

Baxter Q-operator for the hyperbolic Calogero-Moser system

Martin Hallnäs
Journal of Physics A: Mathematical and Theoretical. Vol. 57 (22)
Journal article
2024

New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence

Martin Hallnäs
Constructive Approximation. Vol. 59 (1), p. 113-142
Journal article
2022

Higher Order Deformed Elliptic Ruijsenaars Operators

Martin Hallnäs, Edwin Langmann, Masatoshi Noumi et al
Communications in Mathematical Physics. Vol. 392 (2), p. 659-689
Journal article
2022

From Kajihara’s transformation formula to deformed Macdonald–Ruijsenaars and Noumi–Sano operators

Martin Hallnäs, Edwin Langmann, Masatoshi Noumi et al
Selecta Mathematica, New Series. Vol. 28 (2)
Journal article
2021

Quasi-invariant Hermite Polynomials and Lassalle-Nekrasov Correspondence

Misha V. Feigin, Martin Hallnäs, Alexander P. Veselov
Communications in Mathematical Physics. Vol. 386 (1), p. 107-141
Journal article
2021

Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type. III. Factorized Asymptotics

Martin Hallnäs, Simon Ruijsenaars
International Mathematics Research Notices. Vol. 2021 (6), p. 4679-4708
Journal article
2021

Super-Macdonald Polynomials: Orthogonality and Hilbert Space Interpretation

Farrokh Atai, Martin Hallnäs, Edwin Langmann
Communications in Mathematical Physics. Vol. 388 (1), p. 435-468
Journal article
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. Vol. 51 (2), p. 1-18
Journal article
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

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 proceeding
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 2 research projects

2025–2028

Generalised Lamé operators and double affine Hecke algebras

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

2019–2022

Quasi-invariants of finite Coxeter groups and integrable systems

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

7 publications exist
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