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Abstract

Notation. Throughout this chapter, X and Y are complex Hilbert spaces which are identified with their duals. \( \mathbb{T} \) is a strongly continuous semigroup on X, with generator A:D(A)→X and growth bound ω0(\( \mathbb{T} \) ). Recall from Section 2.10 that X1 is D(A) with the norm …z1 = ‖(βI - A)z…, where β ∋ ρ(A) is fixed.

Keywords

Hilbert Space Wave Packet Orthonormal Basis Unitary Group Continuous Semigroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2009

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