39 citations · 123 across the 23 of their papers we have counts for
Showing math.OAShow all
2 papers · 1 filter
math.OA2010★ 1 cited
Multiplication operators on the energy space
Palle E. T. Jorgensen, Erin P. J. Pearse
This paper studies the "energy space" (the Hilbert space of functions of finite energy, aka the Dirichlet-finite functions) on an infinite network (weig…
math.OA2008★ 39 cited
Operator theory of electrical resistance networks
Palle E. T. Jorgensen, Erin P. J. Pearse
A resistance network is a weighted graph with intrinsic (resistance) metric . We embed the resistance network into the Hilbert space of funct…