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Feynman Formulas Representation of Semigroups Generated by Parabolic Difference-Differential Equations
Difference-Differential Equations Semigroup Feynman Formula Chernoff Theorem
2013/1/30
We establish that the Laplas operator with perturbation by symmetrised linear hall of displacement argument operators is the generator of unitary group in the Hilbert space of square integrable functi...
Multiple tunnel effect for dispersive waves on a star-shaped network: an explicit formula for the spectral representation
networks spectral theory resolvent generalized eigenfunctions functional calculus
2011/1/21
We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but different on each branch.
Idempotents in representation rings of quivers
Idempotents representation rings of quivers
2010/11/26
For an acyclic quiver Q, we solve the Clebsch-Gordan problem for the projective representations by computing the mul-tiplicity of a given indecomposable projective in the tensor product of two indecom...