Abstract
In the first section, starting from the resolvent equation we study strongly continuous one-parameter groups, their resolvents and their generators. In the second section, we introduce the spectral Schwartz distribution.
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References
E. Hille, R.S. Phillips, Functional Analysis and Semigroups (Amer. Math. Soc., Providence, 1968)
L. Schwartz, Théorie des distributions I (Herrmann, Paris, 1951)
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von Waldenfels, W. (2014). One-Parameter Groups. In: A Measure Theoretical Approach to Quantum Stochastic Processes. Lecture Notes in Physics, vol 878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45082-2_3
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DOI: https://doi.org/10.1007/978-3-642-45082-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-45081-5
Online ISBN: 978-3-642-45082-2
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