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Analogs of this theorem were proved by Roitberg for nonregular elliptic boundary- value problems and for general elliptic systems of differential equations, the mod- ified scale of
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
— These notes are devoted to the Local Duality Theorem for D -modules, which asserts that the topological Grothendieck-Verdier duality exchanges the de Rham complex and the
Correspondingly, the limiting sequence of metric spaces has a surpris- ingly simple description as a collection of random real trees (given below) in which certain pairs of
In conclusion, we reduced the standard L-curve method for parameter selection to a minimization problem of an error estimating surrogate functional from which two new parameter
From the adaptive harmonic detection output i h and the APF current i L obtained from measuring module, we can get the input signal of adaptive sliding mode controller which is also
Hence, for these classes of orthogonal polynomials analogous results to those reported above hold, namely an additional three-term recursion relation involving shifts in the
The space of polynomials in two real variables with values in a 2-dimensional irreducible module of a dihedral group is studied as a standard module for Dunkl operators..