| 000 | 02261cam a2200265 i 4500 | ||
|---|---|---|---|
| 001 | 18950081 | ||
| 005 | 20250610101406.0 | ||
| 008 | 160128m20169999nyua b 001 0 eng | ||
| 020 | _a9781107620353 | ||
| 040 |
_aCSL _cCSL |
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| 041 |
_2eng _aeng |
||
| 084 |
_aB36m Q6 NBHM _qCSL |
||
| 100 | 1 |
_aConstantin, Adrian. _eauthor. _9457605 |
|
| 245 | 1 | 0 |
_aFourier analysis _bPart I - theory |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2016. |
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| 300 |
_a1 v. (xiv, 353 p. ): _bill. ; _c23 cm. |
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| 490 | 0 |
_aLondon Mathematical Society student texts ; _v85 |
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| 504 | _aIncludes bibliographical references and index. | ||
| 520 | _aFourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study. Achieves a balance between pure and applied topics, appealing to mathematicians working in all areas Includes a large number of exercises, with separate hints and solutions, to improve understanding Provides an overview of topics intertwined with Fourier analysis, such as measure theory, functional analysis and complex analysis | ||
| 650 | 0 | _aFourier analysis. | |
| 650 | 0 | _aMathematical analysis. | |
| 650 | 0 |
_aFourier transforms _9716920 |
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| 650 | 0 |
_aLebesgue measure and integral _9812321 |
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| 942 |
_2CC _n0 _cTEXL _hB36m Q6 NBHM |
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| 999 |
_c1431538 _d1431538 |
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