Summability properties of Gabor expansions

Anton Baranov, Yurii Belov, Alexander Borichev

Результат исследований: Научные публикации в периодических изданияхстатья

3 Цитирования (Scopus)

Выдержка

We show that there exist complete and minimal systems of time-frequency shifts of Gaussians in L2(R) which are not strong Markushevich basis (do not admit the spectral synthesis). In particular, it implies that there is no linear summation method for general Gaussian Gabor expansions. On the other hand we prove that the spectral synthesis for such Gabor systems holds up to one dimensional defect.

Язык оригиналаанглийский
Страницы (с-по)2532-2552
Число страниц21
ЖурналJournal of Functional Analysis
Том274
Номер выпуска9
DOI
СостояниеОпубликовано - 1 мая 2018

Отпечаток

Spectral Synthesis
Summability
Gabor Systems
Summation
Defects
Imply

Предметные области Scopus

  • Анализ

Цитировать

Baranov, Anton ; Belov, Yurii ; Borichev, Alexander. / Summability properties of Gabor expansions. В: Journal of Functional Analysis. 2018 ; Том 274, № 9. стр. 2532-2552.
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Summability properties of Gabor expansions. / Baranov, Anton; Belov, Yurii; Borichev, Alexander.

В: Journal of Functional Analysis, Том 274, № 9, 01.05.2018, стр. 2532-2552.

Результат исследований: Научные публикации в периодических изданияхстатья

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