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- Martin Hallnäs
Martin Hallnäs
Docent
Avdelningen för Analys och sannolikhetsteoriOm Martin Hallnäs
Min forskning fokuserar på integrabla (el. exakt lösbara) system och speciella funktioner. Jag är särskilt intresserad av integrabla mångpartikel system av så kallad Calogero-Moser typ och deras koppling till hypergeometriska funktioner och ortogonala polynom, symmetriska funktioner och slumpmatriser.
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Elliptic Integrable Systems and Special
Functions
Martin Hallnäs, Edwin Langmann
Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5 - 2024 -
Calogero—Moser—Sutherland
Systems
Martin Hallnäs
Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5 - 2024 -
Baxter Q-operator for the hyperbolic Calogero-Moser
system
Martin Hallnäs
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL - 2024 -
New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle-Nekrasov
Correspondence
Martin Hallnäs
Constructive Approximation - 2023 -
From Kajihara’s transformation formula to deformed Macdonald–Ruijsenaars and Noumi–Sano
operators
Martin Hallnäs, E. Langmann, M. Noumi, Hjalmar Rosengren
Selecta Mathematica, New Series - 2022 -
Higher Order Deformed Elliptic Ruijsenaars
Operators
Martin Hallnäs, E. Langmann, M. Noumi, Hjalmar Rosengren
Communications in Mathematical Physics - 2022 -
Joint Eigenfunctions for the Relativistic Calogero-Moser Hamiltonians of Hyperbolic Type. III. Factorized
Asymptotics
Martin Hallnäs
International Mathematics Research Notices - 2021 -
Super-Macdonald Polynomials: Orthogonality and Hilbert Space
Interpretation
F. Atai, Martin Hallnäs, E. Langmann
Communications in Mathematical Physics - 2021 -
Quasi-invariant Hermite Polynomials and Lassalle-Nekrasov
Correspondence
M. V. Feigin, Martin Hallnäs, A. P. Veselov
Communications in Mathematical Physics - 2021 -
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 -
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 -
Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars–Schneider
systems
Tamas Görbe, Martin Hallnäs
Journal of Integrable Systems - 2018 -
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 -
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