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math.CA2025
An explicit construction of heat kernels and Green's functions in measure spaces
Palle Jorgensen, Jay Jorgenson, Lejla Smajlovic
We explicitly construct a heat kernel as a Neumann series for certain function spaces, such as , , and Hilbert spaces, associated to a locally compact Hausdorff space…
math.SP2025
Determinants of twisted Laplacians and the twisted Selberg zeta function
Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti
Let be an orbisurface, meaning a compact hyperbolic Riemann surface possibly with a finite number of elliptic points, and let denote its unit tangent bundle. We consider…