Now showing items 21-23 of 23
The Łojasiewicz exponent over a field of arbitrary characteristic
(Springer Verlag, 2015-01-13)
Let K be an algebraically closed field and let K((XQ)) denote the field of generalized series with coefficients in K. We propose definitions of the local Łojasiewicz exponent of F = ( f1, . . . , fm) ∈ K[[X, Y ]]m as ...
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative
(Hindawi Publishing Corporation, 2015-07-08)
We investigate a fractional Dirichlet problem involving Jumarie’s derivative. Using some variational methods a theorem on the existence and uniqueness of a solution to such problem is proved. In the proof of the main ...
Entropy of Quantum Measurement
A notion of entropy of a normal state on a finite von Neumann algebra in Segal’s sense is considered, and its superadditivity is proven together with a necessary and sufficient condition for its additivity. Bounds on the ...