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## Details

Additional Physical Format: | Print version: |
---|---|

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Paul B Garrett |

ISBN: | 9781108571814 1108571816 |

OCLC Number: | 1054473609 |

Notes: | Title from publisher's bibliographic system (viewed on 14 Sep 2018). |

Description: | 1 online resource (xxii, 343 pages) : PDF file(s). |

Contents: | 1. Unbounded operators on Hilbert spaces; 2. Discrete decomposition of pseudo-cuspforms; 3. Meromorphic continuation of Eisenstein series; 4. Global automorphic Sobolev spaces, Green's functions; 5. Examples - topologies on natural function spaces; 6. Vector-valued integrals; 7. Differentiable vector-valued functions; 8. Asymptotic expansions. |

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

Responsibility: | Paul Garrett. |

### 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*