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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.CA2008
Iterated function systems, moments, and transformations of infinite matrices
Palle Jorgensen, Keri Kornelson, Karen Shuman
We study the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Our main object of study is the infinite matrix which enc…