2018/01/09 by Darren C. Ong, Ong, Darren C., Christian Remling +1
Mathematics · #34L40 37K10 47B36 81Q10 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:34L40 #msc:37K10 #msc:47B36 #msc:81Q10
paper · pdf · doi:10.48550/arxiv.1801.03053
arxiv created 2018/01/09 · arxiv updated 2018/01/10
The classical hierarchy of Toda flows can be thought of as an action of the (abelian) group of polynomials on Jacobi matrices. We present a generalization of this to the larger groups of C2 and entire functions, and in this second case, we also introduce associated cocycles and in fact give center stage to this object.