| 000 | 02336nam a22003738i 4500 | ||
|---|---|---|---|
| 005 | 20250919090118.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 170308s2015||||enk o ||1 0|eng|d | ||
| 020 | _a9781316227619 (ebook) | ||
| 020 | _z9781107107359 (hardback) | ||
| 035 | _a(UkCbUP)CR9781316227619 | ||
| 039 | 9 |
_y03-08-2017 _zhafiz |
|
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 100 | 1 |
_aMattila, Pertti, _eauthor. |
|
| 245 | 1 | 0 |
_aFourier Analysis and Hausdorff Dimension / _cPertti Mattila. |
| 246 | 3 | _aFourier Analysis & Hausdorff Dimension | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2015. |
|
| 300 |
_a1 online resource (452 pages) : _bdigital, PDF file(s). |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 0 |
_aCambridge Studies in Advanced Mathematics ; _v150 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 07 Mar 2017). | ||
| 520 | _aDuring the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric problems involving Hausdorff dimension, such as Marstrand type projection theorems and Falconer's distance set problem, and the role of Hausdorff dimension in modern Fourier analysis, especially in Kakeya methods and Fourier restriction phenomena. The discussion includes both classical results and recent developments in the area. The author emphasises partial results of important open problems, for example, Falconer's distance set conjecture, the Kakeya conjecture and the Fourier restriction conjecture. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics. | ||
| 776 | 0 | 8 |
_iPrint version: _z9781107107359 |
| 830 | 0 |
_aCambridge Studies in Advanced Mathematics ; _v150. |
|
| 856 | 4 | 0 | _uhttps://eresourcesptsl.ukm.remotexs.co/user/login?url=https://doi.org/10.1017/CBO9781316227619 |
| 907 |
_a.b16441710 _b2022-10-14 _c2019-11-12 |
||
| 942 | _n0 | ||
| 914 | _avtls003618470 | ||
| 998 |
_anone _b2017-08-03 _cm _da _feng _genk _y0 _z.b16441710 |
||
| 999 |
_c617387 _d617387 |
||