@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",

}