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Transfer operator for the Gauss' continu...

Alkauskas, Giedrius...

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Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas by Alkauskas, Giedrius ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	Let L be the transfer operator associated with the Gauss' continued fraction map, known also as the Gauss-Kuzmin-Wirsing operator, acting on the Banach space. In this work we prove an asymptotic formula for the eigenvalues of L. This settles, in a stronger form, the conjectures of D. Mayer and G. Roepstorff (1988), A.J. MacLeod (1992), Ph. Flajolet and B. Vallee (1995), also supported by several other authors. Further, we find an exact series for the eigenvalues, which also gives the canonical decomposition of trace formulas due to D. Mayer (1976) and K.I. Babenko (1978). This crystallizes the contribution of each individual eigenvalue in the trace formulas.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1210.4083

Citation

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AMA 11th EditionReferences

Alkauskas, Giedrius. Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas. Australian National University. July 27, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/5684

APA 7th EditionReferences

Alkauskas, Giedrius. (2023). Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas. Australian National University. https://online.provdatabase.com/cite/5684

Chicago 17th EditionReferences

Alkauskas, Giedrius. Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas. Australian National University. 2023. https://online.provdatabase.com/cite/5684

HarvardReferences

Alkauskas, Giedrius. (2023). Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5684. (Accessed 20 September 2024).

Harvard AustraliaReferences

Alkauskas, Giedrius, 2023, Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/5684>

MLA 9th EditionWorks Cited

Alkauskas, Giedrius. Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5684.

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