On Erb's uncertainty principle

Hubert Klaja

Studia Mathematica (2016)

  • Volume: 232, Issue: 1, page 7-17
  • ISSN: 0039-3223

Abstract

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We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.

How to cite

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Hubert Klaja. "On Erb's uncertainty principle." Studia Mathematica 232.1 (2016): 7-17. <http://eudml.org/doc/285648>.

@article{HubertKlaja2016,
abstract = {We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.},
author = {Hubert Klaja},
journal = {Studia Mathematica},
keywords = {orthogonal polynomials; annihilating pairs; strong annihilating pairs; uncertainty principle; numerical range; difference of orthogonal projections},
language = {eng},
number = {1},
pages = {7-17},
title = {On Erb's uncertainty principle},
url = {http://eudml.org/doc/285648},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Hubert Klaja
TI - On Erb's uncertainty principle
JO - Studia Mathematica
PY - 2016
VL - 232
IS - 1
SP - 7
EP - 17
AB - We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
LA - eng
KW - orthogonal polynomials; annihilating pairs; strong annihilating pairs; uncertainty principle; numerical range; difference of orthogonal projections
UR - http://eudml.org/doc/285648
ER -

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