Publications of the Research Institute for Mathematical Sciences
Online ISSN : 1663-4926
Print ISSN : 0034-5318
Search
Advanced search
OR
Browse
Search
Volume 36, Issue 6
Displaying 1-3 of 3 articles from this issue
Show all abstracts
    • |<
    • <
    • 1
    • >
    • >|
  • Singularities at Infinity and their Vanishing Cycles, II. Monodromy
    Dirk Siersma, Mihai Tibar
    2000 Volume 36 Issue 6 Pages 659-679
    Published: 2000
    Released on J-STAGE: April 24, 2009
    DOIhttps://doi.org/10.2977/prims/1195139641
    JOURNAL FREE ACCESS
    Show abstractHide abstract
    Let f:\mathbb{C}n→\mathbb{C} be any polynomial function. By using global polar methods, we introduce models for the fibers of f and we study the monodromy at atypical values of f, including the value infinity. We construct a geometric monodromy with controlled behavior and define global relative monodromy with respect to a general linear form. We prove localization results for the relative monodromy and derive a zeta-function formula for the monodromy around an atypical value. We compute the relative zeta function in several cases and emphasize the differences to the “classical” local situation.
    View full abstract
    Download PDF (2217K)
  • Morphisms of Certain Banach C*-Modules
    Fabio Bagarello, Camillo Trapani
    2000 Volume 36 Issue 6 Pages 681-705
    Published: 2000
    Released on J-STAGE: April 24, 2009
    DOIhttps://doi.org/10.2977/prims/1195139642
    JOURNAL FREE ACCESS
    Show abstractHide abstract
    Morphisms and representations of a class of Banach C*-modules, called CQ*-algebras, are considered. Together with a general method for constructing CQ*-algebras, two different ways of extending the GNS-representation are presented.
    View full abstract
    Download PDF (2098K)
  • Hilbert Space Theory for Reflectionless Relativistic Potentials
    Simon N. M. Ruijsenaars
    2000 Volume 36 Issue 6 Pages 707-753
    Published: 2000
    Released on J-STAGE: April 24, 2009
    DOIhttps://doi.org/10.2977/prims/1195139643
    JOURNAL FREE ACCESS
    Show abstractHide abstract
    We study Hilbert space aspects of explicit eigenfunctions for analytic difference operators that arise in the context of relativistic two-particle Calogero-Moser systems. We restrict attention to integer coupling constants g/{(h/2π)}, for which no reflection occurs. It is proved that the eigenfunction transforms are isometric, provided a certain dimensionless parameter a varies over a bounded interval (0, amax), whereas isometry is shown to be violated for generic a larger than amax. The anomaly is encoded in an explicit finite-rank operator, whose rank increases to ∞ as a goes to ∞.
    View full abstract
    Download PDF (3900K)
    • |<
    • <
    • 1
    • >
    • >|
feedback
 Top