Balian–Low type theorems on L2(C)

Anirudha Poria; Jitendriya Swain

doi:10.1007/s11868-021-00402-1

Balian–Low type theorems on L²(C)

Anirudha Poria
, Jitendriya Swain^*

^*Corresponding author for this work

Department of Applied Mathematics

Indian Institute of Technology Guwahati

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we prove amalgam Balian–Low theorems and Balian–Low type theorems on L²(C) for the special Hermite operator using the Weyl transform.

Original language	English
Article number	28
Journal	Journal of Pseudo-Differential Operators and Applications
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/s11868-021-00402-1
Publication status	Published - Jun 2021

Keywords

Balian–Low theorem
Special Hermite operator
Time-frequency analysis
Weyl transform
Zak transform

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10.1007/s11868-021-00402-1

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title = "Balian–Low type theorems on L2(C)",

abstract = "In this paper we prove amalgam Balian–Low theorems and Balian–Low type theorems on L2(C) for the special Hermite operator using the Weyl transform.",

keywords = "Balian–Low theorem, Special Hermite operator, Time-frequency analysis, Weyl transform, Zak transform",

author = "Anirudha Poria and Jitendriya Swain",

note = "Funding Information: The first author wishes to thank the Ministry of Human Resource Development, India for the research fellowship and Indian Institute of Technology Guwahati, India for the support provided during the period of this work. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.",

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doi = "10.1007/s11868-021-00402-1",

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AU - Swain, Jitendriya

N1 - Funding Information: The first author wishes to thank the Ministry of Human Resource Development, India for the research fellowship and Indian Institute of Technology Guwahati, India for the support provided during the period of this work. Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.

PY - 2021/6

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N2 - In this paper we prove amalgam Balian–Low theorems and Balian–Low type theorems on L2(C) for the special Hermite operator using the Weyl transform.

AB - In this paper we prove amalgam Balian–Low theorems and Balian–Low type theorems on L2(C) for the special Hermite operator using the Weyl transform.

KW - Balian–Low theorem

KW - Special Hermite operator

KW - Time-frequency analysis

KW - Weyl transform

KW - Zak transform

UR - https://www.scopus.com/pages/publications/85102738063

U2 - 10.1007/s11868-021-00402-1

DO - 10.1007/s11868-021-00402-1

M3 - Article

AN - SCOPUS:85102738063

SN - 1662-9981

VL - 12

JO - Journal of Pseudo-Differential Operators and Applications

JF - Journal of Pseudo-Differential Operators and Applications

IS - 2

M1 - 28

ER -

Balian–Low type theorems on L²(C)

Abstract

Keywords

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