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Convex functions whose epigraphs are semi-closed: Duality theory
Duality semi-closed conjugate function
2010/9/15
A classical duality formula in general Banach spaces, usually established for a convex proper lower semicontinuous perturbation under one of the familiar Rockafellar, Robinson, Attouch-Br´ezis c...
An Algebraic Duality Theory for Multiplicative Unitaries
Algebraic Duality Theory Multiplicative Unitaries
2010/10/29
Multiplicative Unitaries are described in terms of a pair of commuting shifts of relative depth two. They can be generated from ambidextrous Hilbert spaces in a tensor C*-category. The algebraic anal...
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
elliptic curve S-duality theory Eisenstein series Kac-Moody groups
2010/10/29
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surfa...