Geodesic
On the maximal ideal spaces of $\mathbf{H^\infty}$ on coverings of bordered Riemann surfaces
Algebra i analiz, Tome 34 (2022) no. 3, pp. 159-174

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The paper describes the topological structure of the maximal ideal space of the algebra of bounded holomorphic functions on a covering of a bordered Riemann surface. Some applications of the obtained results to the theory of bounded operator-valued holomorphic functions on Riemann surfaces are presented.
Keywords: maximal ideal space, interpolating sequence, Blaschke product, Gleason part, analytic disk, covering dimension, cohomology, Freudenthal compactification. 
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A. Brudnyi. On the maximal ideal spaces of $\mathbf{H^\infty}$ on coverings of bordered Riemann surfaces. Algebra i analiz, Tome 34 (2022) no. 3, pp. 159-174. http://geodesic.mathdoc.fr/item/AA_2022_34_3_a6/

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