Directional Heisenberg uncertainty product

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

doi:10.7153/mia-2019-22-28

Directional Heisenberg uncertainty product

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

Institut für Mathematik

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.

Originalsprache	Englisch
Zeitschrift	Mathematical Inequalities and Applications
Jahrgang	22
Ausgabenummer	1
Seiten (von - bis)	377-399
Seitenumfang	23
ISSN	1331-4343
DOIs	https://doi.org/10.7153/mia-2019-22-28
Publikationsstatus	Veröffentlicht - 01.01.2019

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This research is supported by Volkswagen Foundation.

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10.7153/mia-2019-22-28

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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.",

author = "A. Krivoshein and E. Lebedeva and E. Neiman and J. Prestin",

year = "2019",

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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.

UR - https://www.scopus.com/pages/publications/85062648758

U2 - 10.7153/mia-2019-22-28

DO - 10.7153/mia-2019-22-28

M3 - Journal articles

AN - SCOPUS:85062648758

SN - 1331-4343

VL - 22

SP - 377

EP - 399

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 1

ER -

Directional Heisenberg uncertainty product

Abstract

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