Let H be an innite dimensional Hilbert space and K(H) be the set of all compactoperators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate ofhigher derivation and higher Jordan derivation on K(H) associated with the following Cauchy-Jensentype functional equation 2f((T + S)/2+ R) = f(T ) + f(S) + 2f(R) for all T, S, R are in K(...

We introduce weighted automata over in…nite words with Muller acceptance condition and we show that their behaviors coincide with the semantics of weighted restricted MSO-sentences. Furthermore, we establish an equivalence property of weighted Muller and weighted Büchi automata over certain semirings. Keywords: Weighted logics, Weighted Muller automata, In…nitary formal power series, Weighted B...

I assume that you have some preknowledge in probability theory, but let us recapitulate the small subset of it which we will need for our purposes. We will employ very concrete probability theory (as opposed to abstract probability theory); we simply use it as a tool. When writing this I borrowed much from Chapter 8 in the book Concrete Mathematics, A Foundation for Computer Science by Ronald L...

Acknowledgments As it is usual, I might not have enough room or memory to properly thank you every person who made my stay at the ILLC a rewarding experience. This does not mean they were not important. I learned a lot from my thesis supervisors Alessandra Palmigiano and Maria Aloni who have constantly been there for me, both academically and personally, in spite of their heavy workloads. I hav...

This Letter reports the breaking of spherical symmetry in complete electromagnetic multipole expansion when its sources are distributed on toroidal surfaces, identifying specic geometrical and physical changes fromthe familiar case a surface. In fact, for toroids dened by concentric rings symmetric conical rings, boundary conditions at latter not compatible general with integer values orbital a...

Introduction This paper tries to shed some light on the very classical topic of overconvergence for Dirichlet series, by employing results in the theory of innite order dier-ential operators with constant coecients ([3], [13]). The possibility of linking innite order dierential operators with gap theorems and related subjects such as overconvergence phenomena was rst suggested by Ehrenpreis in ...