MARC details
| 000 -LEADER |
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| fixed length control field |
01879 a2200241 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240307b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470471996 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.2433 SAE |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Sáenz, Ricardo A. |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to harmonic analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Providence, Rhode Island: |
| Name of publisher, distributor, etc |
American Mathematical Society, Institute for Advanced Study |
| Date of publication, distribution, etc |
2023. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xv, 279p.: |
| Other physical details |
ill.; pbk.: |
| Dimensions |
22cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Student Mathematical Library IAS/ Park City Mathematical Subseries Volume 105 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Include a bibliography & index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book gives a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measure theory, Lebesgue integration and approximation theorems.<br/><br/>The book motivates the study of harmonic functions by describing the Dirichlet problem, and discussing examples such as solutions to the heat equation in equilibrium, the real and imaginary parts of holomorphic functions, and the minimizing functions of energy. It then leads students through an in-depth study of the boundary behavior of harmonic functions and finishes by developing the theory of harmonic functions defined on fractals domains.<br/><br/>The book is designed as a textbook for an introductory course on classical harmonic analysis, or for a course on analysis on fractals. Each chapter contains exercises and bibliographic and historical notes. The book can also be used as a supplemental text or for self-study.<br/><br/>https://bookstore.ams.org/view?ProductCode=STML/105 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Real Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Measure Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Holomorphic Functions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Analyse Harmonique |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Dirichlet Problem |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
