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Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
| Softcover ISBN: | 978-1-4704-6545-2 |
| Product Code: | MEMO/287/1423 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7539-0 |
| Product Code: | MEMO/287/1423.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6545-2 |
| eBook: ISBN: | 978-1-4704-7539-0 |
| Product Code: | MEMO/287/1423.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
| Softcover ISBN: | 978-1-4704-6545-2 |
| Product Code: | MEMO/287/1423 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7539-0 |
| Product Code: | MEMO/287/1423.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6545-2 |
| eBook ISBN: | 978-1-4704-7539-0 |
| Product Code: | MEMO/287/1423.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 287; 2023; 172 ppMSC: Primary 11; 37; Secondary 30
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Table of Contents
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Chapters
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1. Introduction
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1. Preliminaries, properties of period functions, and some insights
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2. Notations
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3. Elements from hyperbolic geometry
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4. Hecke triangle groups with infinite covolume
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5. Automorphic forms
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6. Principal series
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7. Transfer operators and period functions
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8. An intuition and some insights
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2. Semi-analytic cohomology
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9. Abstract cohomology spaces
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10. Modules
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3. Automorphic forms and cohomology
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11. Invariant eigenfunctions via a group cohomology
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12. Tesselation cohomology
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13. Extension of cocycles
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14. Surjectivity I: Boundary germs
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15. Surjectivity II: From cocycles to funnel forms
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16. Relation between cohomology spaces
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17. Proof of Theorem D
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4. Transfer operators and cohomology
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18. The map from functions to cocycles
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19. Real period functions and semi-analytic cocycles
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20. Complex period functions and semi-analytic cohomology
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21. Proof of Theorem E
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5. Proofs of Theorems A and B, and a recapitulation
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6. Parity
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22. The triangle group in the projective general linear group
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23. Odd and even funnel forms, cocycles, and period functions
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24. Isomorphisms with parity
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7. Complements and outlook
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25. Fredholm determinant of the fast transfer operator
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26. Outlook
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 287; 2023; 172 pp
MSC: Primary 11; 37; Secondary 30
-
Chapters
-
1. Introduction
-
1. Preliminaries, properties of period functions, and some insights
-
2. Notations
-
3. Elements from hyperbolic geometry
-
4. Hecke triangle groups with infinite covolume
-
5. Automorphic forms
-
6. Principal series
-
7. Transfer operators and period functions
-
8. An intuition and some insights
-
2. Semi-analytic cohomology
-
9. Abstract cohomology spaces
-
10. Modules
-
3. Automorphic forms and cohomology
-
11. Invariant eigenfunctions via a group cohomology
-
12. Tesselation cohomology
-
13. Extension of cocycles
-
14. Surjectivity I: Boundary germs
-
15. Surjectivity II: From cocycles to funnel forms
-
16. Relation between cohomology spaces
-
17. Proof of Theorem D
-
4. Transfer operators and cohomology
-
18. The map from functions to cocycles
-
19. Real period functions and semi-analytic cocycles
-
20. Complex period functions and semi-analytic cohomology
-
21. Proof of Theorem E
-
5. Proofs of Theorems A and B, and a recapitulation
-
6. Parity
-
22. The triangle group in the projective general linear group
-
23. Odd and even funnel forms, cocycles, and period functions
-
24. Isomorphisms with parity
-
7. Complements and outlook
-
25. Fredholm determinant of the fast transfer operator
-
26. Outlook
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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