## Find a copy online

### Links to this item

cambridge.org Information on this title (v.1) (v.2)

cambridge.org Information on this title (v.1) (v.2)

## Find a copy in the library

Finding libraries that hold this item...

## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Paul B Garrett |

ISBN: | 9781108697934 1108697933 9781107154001 1107154006 9781108473842 1108473849 |

OCLC Number: | 1011020675 |

Description: | 2 volumes ; 24 cm. |

Contents: | Volume 1. 1. Four small examples ; 2. The quotient Z+GL2(k)/GL2(A) ; 3. SL3(Z), SL5(Z) ; 4. Invariant differential operators ; 5. Integration on quotients ; 6. Action of G on function spaces on G ; 7. Discrete decomposition of cuspforms ; 8. Moderate growth functions, theory of the constant term -- Volume 2. 9. Unbounded operators on Hilbert spaces ; 10. Discrete decomposition of pseudo-cuspforms ; 11. Meromorphic continuation of Eisenstein series ; 12. Global automorphic Sobolev spaces, Green's functions ; 13. Examples -- topologies on natural function spaces ; 14. Vector-valued integrals ; 15. Differentiable vector-valued functions ; 16. Asymptotic expansions. |

Series Title: | Cambridge studies in advanced mathematics, 173-174. |

Responsibility: | Paul Garrett (University of Minnesota, Minneapolis, USA). |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

Review of Multi-volume Set: 'Any researcher working in the analytic theory of automorphic forms on higher rank groups will want to own this book. It is a treasure trove of examples and proofs that are well known to experts but very difficult to find in the open literature.' Dorian Goldfeld, Columbia University Review of Multi-volume Set: 'Written by a leading expert in the field, this volume provides a valuable account of the analytic theory of automorphic forms. The author chooses his examples to provide a middle road between the general theory and the most classical cases that do not exhibit all of the subject's more general phenomena. What makes this book special is this compromise and the subsequent aim, 'to discuss analytical issues at a technical level truly sufficient to convert appealing heuristics to persuasive, genuine proofs'.' John Friedlander, University of Toronto Review of Multi-volume Set: 'It is marvelous to see how Garrett goes about presenting such deep and broad material in what is certainly a superbly holistic manner. It's really a wonderful example of what I think is the right pedagogy for this part of number theory. The examples he uses are lynchpins for an increasingly elaborate development of the subject, and the reader has a number of accessible places to hang his hat as the story unfolds.' Michael Berg, MAA Reviews Review of Multi-volume Set: 'Any researcher working in the analytic theory of automorphic forms on higher rank groups will want to own this book. It is a treasure trove of examples and proofs that are well known to experts but very difficult to find in the open literature.' Dorian Goldfeld, Columbia University Review of Multi-volume Set: 'Written by a leading expert in the field, this volume provides a valuable account of the analytic theory of automorphic forms. The author chooses his examples to provide a middle road between the general theory and the most classical cases that do not exhibit all of the subject's more general phenomena. What makes this book special is this compromise and the subsequent aim, 'to discuss analytical issues at a technical level truly sufficient to convert appealing heuristics to persuasive, genuine proofs'.' John Friedlander, University of Toronto Review of Multi-volume Set: 'It is marvelous to see how Garrett goes about presenting such deep and broad material in what is certainly a superbly holistic manner. It's really a wonderful example of what I think is the right pedagogy for this part of number theory. The examples he uses are lynchpins for an increasingly elaborate development of the subject, and the reader has a number of accessible places to hang his hat as the story unfolds.' Michael Berg, MAA Reviews Read more...

*User-contributed reviews*