Introductory Lectures on Automorphic Forms / / Walter L. Baily.
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 automorph...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1973 |
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Baily, Walter L., author. aut http://id.loc.gov/vocabulary/relators/aut Introductory Lectures on Automorphic Forms / Walter L. Baily. Princeton, NJ : Princeton University Press, [2015] ©1973 1 online resource (280 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Publications of the Mathematical Society of Japan ; 1810 Frontmatter -- Introduction -- Contents -- Supplementary Notational References -- PART I. Elementary Theory of Automorphic Forms on a Bounded Domain -- Chapter 1. General Notions and Examples -- Chapter 2. Analytic Functions and Analytic Spaces -- Chapter 3. Holomorphic Functions and Mappings on a Bounded Domain -- Chapter 4. Analysis on Domains in Cn -- Chapter 5. Automorphic forms on bounded domains -- Part II. Automorphic forms on a bounded symmetric domain and analysis on a semi-simple Lie group -- Chapter 6. Examples for algebraic groups -- Chapter 7. Algebraic groups -- Chapter 8. Representations of compact groups -- Chapter 9. Some work of Harish-Chandra -- Chapter 10. Functional analysis for automorphic forms -- Chapter 11. Construction of automorphic forms -- Part III. Some special topics -- Chapter 12. Fourier Coefficients of Eisenstein Series -- Chapter 13. Theta Functions and Automorphic Forms -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 "ient 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 editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Automorphic forms. Automorphic functions. MATHEMATICS / Calculus. bisacsh Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 9783110426847 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691619170 https://doi.org/10.1515/9781400867158 https://www.degruyter.com/isbn/9781400867158 Cover https://www.degruyter.com/cover/covers/9781400867158.jpg |
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Baily, Walter L., Baily, Walter L., |
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Baily, Walter L., Baily, Walter L., Introductory Lectures on Automorphic Forms / Publications of the Mathematical Society of Japan ; Frontmatter -- Introduction -- Contents -- Supplementary Notational References -- PART I. Elementary Theory of Automorphic Forms on a Bounded Domain -- Chapter 1. General Notions and Examples -- Chapter 2. Analytic Functions and Analytic Spaces -- Chapter 3. Holomorphic Functions and Mappings on a Bounded Domain -- Chapter 4. Analysis on Domains in Cn -- Chapter 5. Automorphic forms on bounded domains -- Part II. Automorphic forms on a bounded symmetric domain and analysis on a semi-simple Lie group -- Chapter 6. Examples for algebraic groups -- Chapter 7. Algebraic groups -- Chapter 8. Representations of compact groups -- Chapter 9. Some work of Harish-Chandra -- Chapter 10. Functional analysis for automorphic forms -- Chapter 11. Construction of automorphic forms -- Part III. Some special topics -- Chapter 12. Fourier Coefficients of Eisenstein Series -- Chapter 13. Theta Functions and Automorphic Forms -- Bibliography -- Index |
author_facet |
Baily, Walter L., Baily, Walter L., |
author_variant |
w l b wl wlb w l b wl wlb |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Baily, Walter L., |
title |
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_auth |
Introductory Lectures on Automorphic Forms / |
title_alt |
Frontmatter -- Introduction -- Contents -- Supplementary Notational References -- PART I. Elementary Theory of Automorphic Forms on a Bounded Domain -- Chapter 1. General Notions and Examples -- Chapter 2. Analytic Functions and Analytic Spaces -- Chapter 3. Holomorphic Functions and Mappings on a Bounded Domain -- Chapter 4. Analysis on Domains in Cn -- Chapter 5. Automorphic forms on bounded domains -- Part II. Automorphic forms on a bounded symmetric domain and analysis on a semi-simple Lie group -- Chapter 6. Examples for algebraic groups -- Chapter 7. Algebraic groups -- Chapter 8. Representations of compact groups -- Chapter 9. Some work of Harish-Chandra -- Chapter 10. Functional analysis for automorphic forms -- Chapter 11. Construction of automorphic forms -- Part III. Some special topics -- Chapter 12. Fourier Coefficients of Eisenstein Series -- Chapter 13. Theta Functions and Automorphic Forms -- Bibliography -- Index |
title_new |
Introductory Lectures on Automorphic Forms / |
title_sort |
introductory lectures on automorphic forms / |
series |
Publications of the Mathematical Society of Japan ; |
series2 |
Publications of the Mathematical Society of Japan ; |
publisher |
Princeton University Press, |
publishDate |
2015 |
physical |
1 online resource (280 p.) Issued also in print. |
contents |
Frontmatter -- Introduction -- Contents -- Supplementary Notational References -- PART I. Elementary Theory of Automorphic Forms on a Bounded Domain -- Chapter 1. General Notions and Examples -- Chapter 2. Analytic Functions and Analytic Spaces -- Chapter 3. Holomorphic Functions and Mappings on a Bounded Domain -- Chapter 4. Analysis on Domains in Cn -- Chapter 5. Automorphic forms on bounded domains -- Part II. Automorphic forms on a bounded symmetric domain and analysis on a semi-simple Lie group -- Chapter 6. Examples for algebraic groups -- Chapter 7. Algebraic groups -- Chapter 8. Representations of compact groups -- Chapter 9. Some work of Harish-Chandra -- Chapter 10. Functional analysis for automorphic forms -- Chapter 11. Construction of automorphic forms -- Part III. Some special topics -- Chapter 12. Fourier Coefficients of Eisenstein Series -- Chapter 13. Theta Functions and Automorphic Forms -- Bibliography -- Index |
isbn |
9781400867158 9783110426847 9783110413595 9783110665925 9783110442496 9780691619170 |
url |
https://doi.org/10.1515/9781400867158 https://www.degruyter.com/isbn/9781400867158 https://www.degruyter.com/cover/covers/9781400867158.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.9 |
dewey-sort |
3515.9 |
dewey-raw |
515.9 |
dewey-search |
515.9 |
doi_str_mv |
10.1515/9781400867158 |
oclc_num |
903322012 |
work_keys_str_mv |
AT bailywalterl introductorylecturesonautomorphicforms |
status_str |
n |
ids_txt_mv |
(DE-B1597)454075 (OCoLC)903322012 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Introductory Lectures on Automorphic Forms / |
container_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
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1806143606123134976 |
fullrecord |
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