@inbook{9d38a2ed28b64c248c7deb640c47bab1,

title = "Introduction",

abstract = "Since the discovery of the S-spectrum in 2006 the theory of slice hyperholomorphic functions has become the underlining function theory on which new functional calculi for quaternionic operators and for n-tuples of operators have been developed. These calculi are the S-functional calculus and the F-functional calculus, and both are based on the notion of S-spectrum. In 2014 it was proved that the quaternionic spectral theorem is also naturally based on the S-spectrum. These facts restore the analogy with the classical case in which the holomorphic functional calculus and the spectral theorem are based on the same notion of spectrum.",

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_1",

language = "English",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "1--10",

booktitle = "Operator Theory",

}