Introductory Lectures on Automorphic Forms:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2015]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher’s Web site, viewed June 24 2015) |
| Beschreibung: | 1 online resource (279pages) illustrations |
| ISBN: | 9781400867158 |
| DOI: | 10.1515/9781400867158 |
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| 245 | 1 | 0 | |a Introductory Lectures on Automorphic Forms |c Walter L. Baily |
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| 500 | |a Description based on online resource; title from PDF title page (publisher’s Web site, viewed June 24 2015) | ||
| 505 | 8 | |a Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn).Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan's proof of the existence of the projective imbedding of the compact quotient of such a domain by a discrete group. Part II treats the construction and properties of automorphic forms with respect to an arithmetic group acting on a bounded symmetric domain; this part is highly technical, and based largely on relevant results in functional analysis due to Godement and Harish-Chandra. | |
| 505 | 8 | |a In Part III, Professor Baily extends the discussion to include some special topics, specifically, the arithmetic propertics of Eisenstein series and their connection with the arithmetic theory of quadratic forms.Unlike classical works on the subject, this book deals with more than one variable, and it differs notably in its treatment of analysis on the group of automorphisms of the domain. | |
| 505 | 8 | |a It is concerned with the case of complex analytic automorphic forms because of their connection with algebraic geometry, and so is distinct from other modern treatises that deal with automorphic forms on a semi-simple Lie group.Having had its inception as graduate- level lectures, the book assumes some knowledge of complex function theory and algebra, for the serious reader is expected to supply certain details for himself, especially in such related areas as functional analysis and algebraic groups.Originally published in 1973.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. | |
| 505 | 8 | |a The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 | |
| 546 | |a In English | ||
| 650 | 4 | |a Mathematik | |
| 650 | 7 | |a MATHEMATICS/Calculus |2 bisacsh | |
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Automorphic functions | |
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Datensatz im Suchindex
| _version_ | 1804175365212471296 |
|---|---|
| any_adam_object | |
| author | Baily, Walter L. |
| author_facet | Baily, Walter L. |
| author_role | aut |
| author_sort | Baily, Walter L. |
| author_variant | w l b wl wlb |
| building | Verbundindex |
| bvnumber | BV043016350 |
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| contents | Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn).Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan's proof of the existence of the projective imbedding of the compact quotient of such a domain by a discrete group. Part II treats the construction and properties of automorphic forms with respect to an arithmetic group acting on a bounded symmetric domain; this part is highly technical, and based largely on relevant results in functional analysis due to Godement and Harish-Chandra. In Part III, Professor Baily extends the discussion to include some special topics, specifically, the arithmetic propertics of Eisenstein series and their connection with the arithmetic theory of quadratic forms.Unlike classical works on the subject, this book deals with more than one variable, and it differs notably in its treatment of analysis on the group of automorphisms of the domain. It is concerned with the case of complex analytic automorphic forms because of their connection with algebraic geometry, and so is distinct from other modern treatises that deal with automorphic forms on a semi-simple Lie group.Having had its inception as graduate- level lectures, the book assumes some knowledge of complex function theory and algebra, for the serious reader is expected to supply certain details for himself, especially in such related areas as functional analysis and algebraic groups.Originally published in 1973.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 |
| ctrlnum | (OCoLC)1165494466 (DE-599)BVBBV043016350 |
| dewey-full | 515/.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400867158 |
| format | Electronic eBook |
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| spelling | Baily, Walter L. aut Introductory Lectures on Automorphic Forms Walter L. Baily Princeton, N.J. Princeton University Press [2015] © 2015 1 online resource (279pages) illustrations txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher’s Web site, viewed June 24 2015) Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn).Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan's proof of the existence of the projective imbedding of the compact quotient of such a domain by a discrete group. Part II treats the construction and properties of automorphic forms with respect to an arithmetic group acting on a bounded symmetric domain; this part is highly technical, and based largely on relevant results in functional analysis due to Godement and Harish-Chandra. In Part III, Professor Baily extends the discussion to include some special topics, specifically, the arithmetic propertics of Eisenstein series and their connection with the arithmetic theory of quadratic forms.Unlike classical works on the subject, this book deals with more than one variable, and it differs notably in its treatment of analysis on the group of automorphisms of the domain. It is concerned with the case of complex analytic automorphic forms because of their connection with algebraic geometry, and so is distinct from other modern treatises that deal with automorphic forms on a semi-simple Lie group.Having had its inception as graduate- level lectures, the book assumes some knowledge of complex function theory and algebra, for the serious reader is expected to supply certain details for himself, especially in such related areas as functional analysis and algebraic groups.Originally published in 1973.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 In English Mathematik MATHEMATICS/Calculus bisacsh Automorphic forms Automorphic functions Automorphe Form (DE-588)4003972-9 gnd rswk-swf Automorphe Funktion (DE-588)4143706-8 gnd rswk-swf Automorphe Form (DE-588)4003972-9 s 1\p DE-604 Automorphe Funktion (DE-588)4143706-8 s 2\p DE-604 https://doi.org/10.1515/9781400867158 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baily, Walter L. Introductory Lectures on Automorphic Forms Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn).Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan's proof of the existence of the projective imbedding of the compact quotient of such a domain by a discrete group. Part II treats the construction and properties of automorphic forms with respect to an arithmetic group acting on a bounded symmetric domain; this part is highly technical, and based largely on relevant results in functional analysis due to Godement and Harish-Chandra. In Part III, Professor Baily extends the discussion to include some special topics, specifically, the arithmetic propertics of Eisenstein series and their connection with the arithmetic theory of quadratic forms.Unlike classical works on the subject, this book deals with more than one variable, and it differs notably in its treatment of analysis on the group of automorphisms of the domain. It is concerned with the case of complex analytic automorphic forms because of their connection with algebraic geometry, and so is distinct from other modern treatises that deal with automorphic forms on a semi-simple Lie group.Having had its inception as graduate- level lectures, the book assumes some knowledge of complex function theory and algebra, for the serious reader is expected to supply certain details for himself, especially in such related areas as functional analysis and algebraic groups.Originally published in 1973.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 Mathematik MATHEMATICS/Calculus bisacsh Automorphic forms Automorphic functions Automorphe Form (DE-588)4003972-9 gnd Automorphe Funktion (DE-588)4143706-8 gnd |
| subject_GND | (DE-588)4003972-9 (DE-588)4143706-8 |
| title | Introductory Lectures on Automorphic Forms |
| title_auth | Introductory Lectures on Automorphic Forms |
| title_exact_search | Introductory Lectures on Automorphic Forms |
| title_full | Introductory Lectures on Automorphic Forms Walter L. Baily |
| title_fullStr | Introductory Lectures on Automorphic Forms Walter L. Baily |
| title_full_unstemmed | Introductory Lectures on Automorphic Forms Walter L. Baily |
| title_short | Introductory Lectures on Automorphic Forms |
| title_sort | introductory lectures on automorphic forms |
| topic | Mathematik MATHEMATICS/Calculus bisacsh Automorphic forms Automorphic functions Automorphe Form (DE-588)4003972-9 gnd Automorphe Funktion (DE-588)4143706-8 gnd |
| topic_facet | Mathematik MATHEMATICS/Calculus Automorphic forms Automorphic functions Automorphe Form Automorphe Funktion |
| url | https://doi.org/10.1515/9781400867158 |
| work_keys_str_mv | AT bailywalterl introductorylecturesonautomorphicforms |