# D. Luecking’s Finite Rank Theorem for Toeplitz Operator, Benedicks’ Theorem on the Heisenberg Group, and Uncertainty Principle for the Fourier–Wigner Transform

## Abstract

We discuss connections between the three problems mentioned in the title.

- Authors:

- Tata Institute of Fundamental Research Centre (India)
- The Weizmann Institute of Science (Israel)

- Publication Date:

- OSTI Identifier:
- 22773687

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 235; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; FOURIER TRANSFORMATION; MATHEMATICAL OPERATORS; UNCERTAINTY PRINCIPLE

### Citation Formats

```
Samanta, A., E-mail: amit.gablu@gmail.com, and Sarkar, S., E-mail: santanu87@gmail.com, E-mail: santanu.sarkar@weizmann.ac.il.
```*D. Luecking’s Finite Rank Theorem for Toeplitz Operator, Benedicks’ Theorem on the Heisenberg Group, and Uncertainty Principle for the Fourier–Wigner Transform*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-4069-5.

```
Samanta, A., E-mail: amit.gablu@gmail.com, & Sarkar, S., E-mail: santanu87@gmail.com, E-mail: santanu.sarkar@weizmann.ac.il.
```*D. Luecking’s Finite Rank Theorem for Toeplitz Operator, Benedicks’ Theorem on the Heisenberg Group, and Uncertainty Principle for the Fourier–Wigner Transform*. United States. doi:10.1007/S10958-018-4069-5.

```
Samanta, A., E-mail: amit.gablu@gmail.com, and Sarkar, S., E-mail: santanu87@gmail.com, E-mail: santanu.sarkar@weizmann.ac.il. Thu .
"D. Luecking’s Finite Rank Theorem for Toeplitz Operator, Benedicks’ Theorem on the Heisenberg Group, and Uncertainty Principle for the Fourier–Wigner Transform". United States. doi:10.1007/S10958-018-4069-5.
```

```
@article{osti_22773687,
```

title = {D. Luecking’s Finite Rank Theorem for Toeplitz Operator, Benedicks’ Theorem on the Heisenberg Group, and Uncertainty Principle for the Fourier–Wigner Transform},

author = {Samanta, A., E-mail: amit.gablu@gmail.com and Sarkar, S., E-mail: santanu87@gmail.com, E-mail: santanu.sarkar@weizmann.ac.il},

abstractNote = {We discuss connections between the three problems mentioned in the title.},

doi = {10.1007/S10958-018-4069-5},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 2,

volume = 235,

place = {United States},

year = {2018},

month = {11}

}

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