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We wish to make clear that our result, namely that Levinsons’ theorem is an index theorem, is quite different from a result encountered in supersymmetric quantum mechanics about
1.. In a subsequent paper [6], Davenport, using Vinogradov’s method and the Siegel- Walfisz theorem, showed that the identities ii) hold everywhere and that the two series
Together with Theorem 3.1 of [A] and a few remarks, this theorem implies that any morphism from an index-one to an index-two threefold with cyclic Picard group is a double covering,
Section II will contain the proof of the theorem of factorization of matrix-functions and present the theorem of singular operators that are Noetherian in weighted
A. The necessary and sufficient conditions are derived in or- der that a strong type weighted inequality be fulfilled in Orlicz classes for scalar and vector-valued maximal
Theorem 1 implies that every solution of (1) with one zero is oscilla- tory to the right of this zero and the properties of solutions y without zeros follow from Theorem 2 and
Recently, by means of the Leray-Schauder alternative for con- vex valued multivalued maps and a fixed point theorem due to Martelli for condensing multivalued maps existence, results
In the second result, we shall combine the nonlinear alternative of Leray-Schauder type for single-valued maps with a selection theorem due to Bressan and Colombo for
