Mumford’s dynamical system and Gelfand–Dikii recursion
Published in Funct. Anal. & Its Appl. 57(4), 2023
Abstract. In his paper “The Mumford dynamical system and hyperelliptic Kleinian functions” (Funct. Anal. & Its Appl. 57:4, 27–45, 2023), Victor Buchstaber developed the differential-algebraic theory of the Mumford dynamical system. The key object of this theory is the ((P,Q))-recursion introduced in that paper. In the present work, we further develop the theory of the ((P,Q))-recursion and describe its connections to the Korteweg–de Vries (KdV) hierarchy, the Lenard operator, and the Gelfand–Dikii recursion.
Recommended citation: Polina Baron. (2023). "Mumford’s dynamical system and Gelfand–Dikii recursion." Funct. Anal. & Its Appl. 57(4).
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