Geodesic
Group algebras acting on the~space of solutions of a~special double
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 2, pp. 153-170

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We study properties of the space $\boldsymbol{\Omega}$ of solutions of a special double confluent Heun equation closely related to the model of a overdamped Josephson junction. We describe operators acting on $\boldsymbol{\Omega}$ and relations in the algebra $\mathcal{A}$ generated by them over the real number field. The structure of $\mathcal{A}$ depends on parameters. We give conditions under which $\mathcal{A}$ is isomorphic to a group algebra and describe two corresponding group structures.
Keywords: special double confluent Heun equation, monodromy operator, solution space symmetry, group algebra. 
@article{TMF_2020_204_2_a0,
     author = {V. M. Buchstaber and S. I. Tertychnyi},
     title = {Group algebras acting on the~space of solutions of a~special double},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {153--170},
     publisher = {mathdoc},
     volume = {204},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_204_2_a0/}
}
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V. M. Buchstaber; S. I. Tertychnyi. Group algebras acting on the~space of solutions of a~special double. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 2, pp. 153-170. http://geodesic.mathdoc.fr/item/TMF_2020_204_2_a0/