caa a22 4500 469099046 CHVBK 20180323133040.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF00430001 doi (NATIONALLICENCE)springer-10.1007/BF00430001 Zubelli Jorge Department of Mathematics, University of California, 95064, Santa Cruz, CA, USA aut On the polynomial τ-functions for the KP hierarchy and the bispectral property [Elektronische Daten] [Jorge Zubelli] We show that the τ-functions obtained from Schur polynomials lead to wave functions w(x 1, x 2, ... ; k) that possess the following bispectral property: There exists a differential operator B{k,∂k}, independent of x 1 , such that B{k,∂k}w = Θ {x 1}w, where {x 1} is independent of k. This extends for the KP hierarchy some earlier results of J. J. Duistermaat and F. A. Grünbaum for the rational solutions of KdV and of P. Wright for certain rational solutions of the generalized KdV equations. Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 24/1(1992-01-01), 41-48 0377-9017 24:1<41 1992 24 11005 https://doi.org/10.1007/BF00430001 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00430001 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zubelli Jorge Department of Mathematics, University of California, 95064, Santa Cruz, CA, USA aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 24/1(1992-01-01), 41-48 0377-9017 24:1<41 1992 24 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer