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The Faber–Krahn inequality for the short-time Fourier transform

The Faber–Krahn inequality for the short-time Fourier transform

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2712093300

The Faber–Krahn inequality for the short-time Fourier transform

About this item

Full title

The Faber–Krahn inequality for the short-time Fourier transform

Author / Creator

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Inventiones mathematicae, 2022-10, Vol.230 (1), p.1-30

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

Scope and Contents

Contents

In this paper we solve an open problem concerning the characterization of those measurable sets
Ω

R
2
d
that, among all sets having a prescribed Lebesgue measure, can trap the largest possible energy fraction in time-frequency space, where the energy density of a generic function
f

L
2
(
R
d
)
is def...

Alternative Titles

Full title

The Faber–Krahn inequality for the short-time Fourier transform

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2712093300

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2712093300

Other Identifiers

ISSN

0020-9910

E-ISSN

1432-1297

DOI

10.1007/s00222-022-01119-8

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