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010 a| 2023031498;

020 a| 9781470465452q| (paperback);

020 z| 9781470475390q| (pdf);

035 a| (WaSeSS)ssj0002915004;

042 a| pcc;

049 a| EREEa| NEHH;

050 00 a| QA353.A9b| B77 2023;

082 00 a| 512.72| 23/eng/20231004;

084 a| 11F12a| 11F67a| 37C30a| 11F72a| 30F35a| 37D402| msc;

100 1 a| Bruggeman, Roelof W.,d| 1944-=| ^A237691;

245 10 a| Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolumeh| [electronic resource] /c| Roelof Bruggeman, Anke Dorothea Pohl.;

260 a| Providence :b| American Mathematical Society,c| 2023.;

300 a| vii, 172 pages :b| illustrations ;c| 26 cm.;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| Volume 287, Number 1423 (first of 6 numbers);

504 a| Includes bibliographical references (pages 165-167) and index.;

506 a| Available only to authorized users.;

520 a| "We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume and the dynamics of their geodesic flows"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Automorphic forms.=| ^A65061;

650 0 a| Transfer operators.?| UNAUTHORIZED;

650 0 a| Hecke algebras.=| ^A257598;

650 7 a| Number theory -- Discontinuous groups and automorphic forms -- Automorphic forms, one variable.2| msc;

650 7 a| Number theory -- Discontinuous groups and automorphic forms -- Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols.2| msc;

650 7 a| Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems2| msc;

650 7 a| Number theory -- Discontinuous groups and automorphic forms -- Spectral theory; Selberg trace formula.2| msc;

650 7 a| Functions of a complex variable -- Riemann surfaces -- Fuchsian groups and automorphic functions.2| msc;

650 7 a| Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.).2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Pohl, Anke.?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=30671910;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6512905-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/14/2025x| EBOOKz| JERESOURCE;

Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume / Roelof Bruggeman, Anke Dorothea Pohl.

Author/creator	Bruggeman, Roelof W., 1944-
Other author	Pohl, Anke.
Format	Electronic
Publication Info	Providence : American Mathematical Society, 2023.
Description	vii, 172 pages : illustrations ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Automorphic forms. Transfer operators. Hecke algebras.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; Volume 287, Number 1423 (first of 6 numbers)
Abstract	"We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume and the dynamics of their geodesic flows"-- Provided by publisher.
Bibliography note	Includes bibliographical references (pages 165-167) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2023031498
ISBN	9781470465452 (paperback)
ISBN	(pdf)

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Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume / Roelof Bruggeman, Anke Dorothea Pohl.

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