tailieunhanh - Functional Analysis and Evolution Equations: The Günter Lumer Volume

V an isometry, as in the theorem of Plancherel, is not just a weighted L2-norm on some measure space. This is due to the fact that the back transformation Z has a different expression on each branch, and this is caused by the ramification of the domain. It is not clear to us how one could find a family of generalized eigenfunctions leading to a spectral representation of A. The existing general literature on expansions in generalized eigenfunctions ([11, 19, 20] for example) does not seem to be helpful for this kind of problem: their constructions start from an abstractly given spectral representation | Functional Analysis and Evolution Equations The Gunter Lumer Volume BIRKHAUSER Herbert Amann I Wolfgang Arendt I Matthias Hieber Frank Neubrander I Serge Nicaise I Joachim von Below Editors BIRKHAUSER Functional Analysis and Evolution Equations The Gunter Lumer Volume Herbert Amann Wolfgang Arendt Matthias Hieber Frank Neubrander Serge Nicaise Joachim von Below Editors Birkhauser Basel Boston .

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