Schrodinger Type Operators with Continuous Spectra

Publisher: Pit.man. Pu.blish.ing 1982 | 298 Pages | ISBN: 0273085263 | DJVU | 5 MB

As it was with other specific problems concerning the nature of the spectrum of Schrodinger operators, this problem was not attacked until the late 1940, first in the one-dimensional and then in the general case. The problem turns out to be a very intricate one and it has attracted many mathematicians over the years as our list of references documents. By and large it can now be considered as solved and we have tried in this book to give a connected account of most of the results which have been obtained. In several instances we have rounded off results or simplified their proof in some detail. A few results are presented here for the first time. Clearly there are also questions which have not found an answer yet and these are mentioned as the occasion arises.

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