Includes bibliographical references.

Positivity of zeta distributions and small unitary representations ; The heat equation and representations of the Jacobi group ; Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians ; The heat kernel in lowdimensional quantum theories ; Heat kernels on weighted manifolds and applications ; Heat kernels in geometric evolution equations ; The range of the heat operator ; Heat kernels and cycles ; Green currents on Kahler manifolds ; Heat kernels and Riesz transforms ; The contest between the kernels in the Selberg trace formula for the q+1) egular tree ; Expressing Arakelov invariants using hyperbolic heat kernels ; Grassmannians of higher local fields and multivariable tau functions ; Heat kernels and the range of the trace on completions of twisted group algebras ; Theta functions, old and new ; The heat kernel on the symmetric space rm SL(n,\bf F)\rm SU(n,\bf F) ; Incidence structure L Barchini M Sepanski and R Zierau ; Rolf Berndt ; Jozef Dodziuk and Varghese Mathai ; Dana S Fine ; Alexander Grigoryan ; Joseph F Grotowski ; Brian C Hall ; Bruno Harris ; Georg Hein ; Steve Hofmann ; Matthew D Horton Derek B Newland and Audrey A Terras ; Jay Jorgenson and Jurg Kramer ; Min Ho Lee and Emma Previato ; Varghese Mathai ; Emma Previato ; P Sawyer ; Bin Wang