Directional Heisenberg uncertainty product

A. Krivoshein, E. Lebedeva, E. Neiman, J. Prestin

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

A directional time-frequency localization measure for functions defined on the ddimensional Euclidean space is introduced. A connection between this measure and its periodic counterpart is established. For a class of functions, an optimization problem for finding the optimal direction, along which a function is best or worst localized, is solved.

Язык оригиналаанглийский
Страницы (с-по)377-399
Число страниц23
ЖурналMathematical Inequalities and Applications
Том22
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2019

Отпечаток

Uncertainty
Euclidean space
Optimization Problem
Class

Предметные области Scopus

  • Математика (все)
  • Прикладная математика

Цитировать

Krivoshein, A. ; Lebedeva, E. ; Neiman, E. ; Prestin, J. / Directional Heisenberg uncertainty product. В: Mathematical Inequalities and Applications. 2019 ; Том 22, № 1. стр. 377-399.
@article{5675aecd9a914ee3ae7272b3299f3901,
title = "Directional Heisenberg uncertainty product",
abstract = "A directional time-frequency localization measure for functions defined on the ddimensional Euclidean space is introduced. A connection between this measure and its periodic counterpart is established. For a class of functions, an optimization problem for finding the optimal direction, along which a function is best or worst localized, is solved.",
keywords = "Multivariate functions, Time-frequency localization, Uncertainty product",
author = "A. Krivoshein and E. Lebedeva and E. Neiman and J. Prestin",
year = "2019",
month = "1",
day = "1",
doi = "10.7153/mia-2019-22-28",
language = "English",
volume = "22",
pages = "377--399",
journal = "Mathematical Inequalities and Applications",
issn = "1331-4343",
publisher = "Element d.o.o.",
number = "1",

}

Directional Heisenberg uncertainty product. / Krivoshein, A.; Lebedeva, E.; Neiman, E.; Prestin, J.

В: Mathematical Inequalities and Applications, Том 22, № 1, 01.01.2019, стр. 377-399.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - Directional Heisenberg uncertainty product

AU - Krivoshein, A.

AU - Lebedeva, E.

AU - Neiman, E.

AU - Prestin, J.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A directional time-frequency localization measure for functions defined on the ddimensional Euclidean space is introduced. A connection between this measure and its periodic counterpart is established. For a class of functions, an optimization problem for finding the optimal direction, along which a function is best or worst localized, is solved.

AB - A directional time-frequency localization measure for functions defined on the ddimensional Euclidean space is introduced. A connection between this measure and its periodic counterpart is established. For a class of functions, an optimization problem for finding the optimal direction, along which a function is best or worst localized, is solved.

KW - Multivariate functions

KW - Time-frequency localization

KW - Uncertainty product

UR - http://www.scopus.com/inward/record.url?scp=85062648758&partnerID=8YFLogxK

U2 - 10.7153/mia-2019-22-28

DO - 10.7153/mia-2019-22-28

M3 - Article

AN - SCOPUS:85062648758

VL - 22

SP - 377

EP - 399

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

SN - 1331-4343

IS - 1

ER -