@inproceedings{99f8acc7304f40ad98f335579cdddac2,
title = "The fock space in the slice hyperholomorphic setting",
abstract = "In this paper we introduce and study some basic properties of the Fock space (also known as Segal-Bargmann space) in the slice hyperholomorphic setting. We discuss both the case of slice regular functions over quaternions and the case of slice monogenic functions with values in a Clifford algebra. In the specific setting of quaternions, we also introduce the full Fock space. This paper can be seen as the beginning of the study of infinitedimensional analysis in the quaternionic setting.",
keywords = "Clifford algebras, Fock space, Quaternions, Slice hyperholomorphic functions",
author = "Daniel Alpay and Fabrizio Colombo and Irene Sabadini and Guy Salomon",
note = "Publisher Copyright: {\textcopyright} 2014 Springer International Publishing Switzerland.; 9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013 ; Conference date: 05-08-2013 Through 09-08-2013",
year = "2014",
month = jan,
day = "1",
doi = "10.1007/978-3-319-08771-9_3",
language = "English",
isbn = "9783319087702",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "43--59",
editor = "Swanhild Bernstein and Uwe K{\"a}hler and Irene Sabadini and Frank Sommen",
booktitle = "Hypercomplex Analysis",
}