@inbook{0255bd376292406aaae8edff0f8d0d85,
title = "Spectral integrals",
abstract = "In this chapter, we define spectral integrals in the quaternionic setting. The aim is to de_ne them for a suitably large class of functions that allows us to prove the spectral theorem for unbounded operators in Section 12. To this end, we adapt part of Chapter 4 of the book [191] to the quaternionic setting. Most of the proofs of the properties of spectral integrals are easily adapted from the classical case presented in [191], i.e., when H is a complex Hilbert space. However, some facts require additional arguments, which we will highlight.",
author = "Fabrizio Colombo and Jonathan Gantner and Kimsey, {David P.}",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2018.",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-030-03074-2_10",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "219--231",
booktitle = "Operator Theory",
}