159 research outputs found

    Translation invariant operators on Lp-type spaces

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    Mathematical models based on free boundary problems

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    Generalized eigenfunctions with applications to Dirac's formalism

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    Series expansions with respect to polynomial bases

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    On Hankel invariant distribution spaces

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    A construction of generalized eigenprojections based on geometric measure theory

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    Let M denote a σ\sigma-compact locally compact metric space which satisfies certain geometrical conditions. Then for each σ\sigma-additive projection valued measure P on M there can be constructed a canonical Radon-Nikodym derivative Π:απα\Pi: \alpha \mapsto \pi_\alpha, αM\alpha \in M, with respect to a suitable basic measure ρ\rhoon M. The family (Πα)αM(\Pi_\alpha)_{\alpha \in M} consists of generalized eigenprojections related to the commutative von Neumann algebra generated by the projections P(Δ)P(\Delta), Δ\Delta a Borel set of M

    Analyticity spaces, trajectory spaces, and linear mappings between them

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