Spectral properties of differential equations in Clifford Algebras

Yakov Krasnov

doi:10.1007/978-3-319-08771-9_14

Spectral properties of differential equations in Clifford Algebras

Yakov Krasnov

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The aim of this work is to establish a number of elementary properties about the topology and algebra of real quadratic homogeneous mappings and Riccati type ODEs occurring in Clifford Algebras. We construct an example of the quadratic vector field to show the impact of the spectral properties on qualitative theory.

Original language	English
Title of host publication	Hypercomplex Analysis
Subtitle of host publication	New Perspectives and Applications
Editors	Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
Publisher	Springer International Publishing
Pages	203-211
Number of pages	9
ISBN (Print)	9783319087702
DOIs	https://doi.org/10.1007/978-3-319-08771-9_14
State	Published - 2014
Event	9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013 - Krakow, Poland Duration: 5 Aug 2013 → 9 Aug 2013

Publication series

Name	Trends in Mathematics
Volume	65
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Conference

Conference	9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013
Country/Territory	Poland
City	Krakow
Period	5/08/13 → 9/08/13

Bibliographical note

Publisher Copyright:
© 2014 Springer International Publishing Switzerland.

Keywords

Bilinearity
Differential equations in algebra

Access to Document

10.1007/978-3-319-08771-9_14

Cite this

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title = "Spectral properties of differential equations in Clifford Algebras",

abstract = "The aim of this work is to establish a number of elementary properties about the topology and algebra of real quadratic homogeneous mappings and Riccati type ODEs occurring in Clifford Algebras. We construct an example of the quadratic vector field to show the impact of the spectral properties on qualitative theory.",

keywords = "Bilinearity, Differential equations in algebra",

author = "Yakov Krasnov",

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",

doi = "10.1007/978-3-319-08771-9_14",

language = "אנגלית",

isbn = "9783319087702",

series = "Trends in Mathematics",

publisher = "Springer International Publishing",

pages = "203--211",

editor = "Swanhild Bernstein and Uwe K{\"a}hler and Irene Sabadini and Frank Sommen",

booktitle = "Hypercomplex Analysis",

}

Krasnov, Y 2014, Spectral properties of differential equations in Clifford Algebras. in S Bernstein, U Kähler, I Sabadini & F Sommen (eds), Hypercomplex Analysis: New Perspectives and Applications. Trends in Mathematics, vol. 65, Springer International Publishing, pp. 203-211, 9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013, Krakow, Poland, 5/08/13. https://doi.org/10.1007/978-3-319-08771-9_14

Spectral properties of differential equations in Clifford Algebras. / Krasnov, Yakov.
Hypercomplex Analysis: New Perspectives and Applications. ed. / Swanhild Bernstein; Uwe Kähler; Irene Sabadini; Frank Sommen. Springer International Publishing, 2014. p. 203-211 (Trends in Mathematics; Vol. 65).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Spectral properties of differential equations in Clifford Algebras

Abstract

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Keywords

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