LDR | | 00000nam u2200205 4500 |
001 | | 000000435309 |
005 | | 20200228092830 |
008 | | 200131s2019 ||||||||||||||||| ||eng d |
020 | |
▼a 9781085780421 |
035 | |
▼a (MiAaPQ)AAI13860790 |
040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
082 | 0 |
▼a 510 |
100 | 1 |
▼a Maldague, Dominique. |
245 | 10 |
▼a A Constrained Optimization Problem for the Fourier Transform. |
260 | |
▼a [S.l.]:
▼b University of California, Berkeley.,
▼c 2019. |
260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
300 | |
▼a 89 p. |
500 | |
▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B. |
500 | |
▼a Advisor: Christ, Michael. |
502 | 1 |
▼a Thesis (Ph.D.)--University of California, Berkeley, 2019. |
506 | |
▼a This item must not be sold to any third party vendors. |
506 | |
▼a This item must not be added to any third party search indexes. |
520 | |
▼a Among functions f majorized by indicator functions of sets E of measure 1, which functions have maximal Fourier transform in Lp? We investigate the existence of maximizers, using a concentration compactness approach and ingredients from additive combinatorics to establish properties of maximizing sequences. For exponents q sufficiently close to even integers, we exploit variational techniques and combinatorial results to identify all maximizers. This follows from establishing a sharper version of an associated inequality: if the input f, where |f| is less than or equal to the indicator function of a measure 1 set E, has a certain structure, then the Fourier transform of f in Lq is at least a certain quantitative distance from being optimal. |
590 | |
▼a School code: 0028. |
650 | 4 |
▼a Mathematics. |
690 | |
▼a 0405 |
710 | 20 |
▼a University of California, Berkeley.
▼b Mathematics. |
773 | 0 |
▼t Dissertations Abstracts International
▼g 81-04B. |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0028 |
791 | |
▼a Ph.D. |
792 | |
▼a 2019 |
793 | |
▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15490921
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
980 | |
▼a 202002
▼f 2020 |
990 | |
▼a ***1816162 |
991 | |
▼a E-BOOK |