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Titlebook: C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians; Werner O. Amrein,Anne Boutet Monvel,Vladimir Georg Book 1996 Bir

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0743-1643 been ob­ tained by such methods. The reader may find a description and references in the books by Putnam [Pu], Reed-Simon [RS] and Baumgartel-Wollenberg [BW] for example. A new point of view emerged around 1979 with the work of E. Mourre in which the method of locally conjugate operators was introdu
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Real Interpolation of Banach Spaces,t . is continuously embedded into .. The case of an arbitrary compatible couple does not demand any new idea; for a detailed treatment of the general theory, see [BB], [BK], [BL], [BS], [KPS], [Tr]. The results described below are essentially due to N. Aronszjan, E. Gagliardo, J.-L. Lions and J. Peetre.
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Unitary Representations and Regularity for Self-adjoint Operators,ne’s theorem states that there is a unique spectral measure . on ℝ. such that . and this allows one to extend the functional calculus which we already have for functions in . to all Borel functions .. The natural definition of .) for a Borel function . is ., and one may check that for . the two definitions lead to the same operator .).
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Book 1996ained by such methods. The reader may find a description and references in the books by Putnam [Pu], Reed-Simon [RS] and Baumgartel-Wollenberg [BW] for example. A new point of view emerged around 1979 with the work of E. Mourre in which the method of locally conjugate operators was introduced. His i
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Some Spaces of Functions and Distributions,tity due to A.P. Calderón giving a representation of a distribution in terms of its derivatives of a fixed order plus a regular term. Finally, we use this representation in order to prove several facts that will be needed in later chapters.
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