Units of Hill curves

DOI10.1007/BF02837280zbMath0509.58036MaRDI QIDQ1838213

H. P. jun. McKean

Publication date: 1981

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Hill's equationisospectral motions of the Korteweg de Vries equationsJacobian of a real hyperelliptic curveperiodicity of isospectral flowsperiods of differentials of the second kind on algebraic curves

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Jacobians, Prym varieties (14H40) Ergodic theorems, spectral theory, Markov operators (37A30) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

• The spectrum of difference operators and algebraic curves
• The spectrum of Hill's equation
• The spectrum of Jacobi matrices
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Hill’s surfaces and their theta functions
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• The inverse problem for periodic potentials
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