Generalized Analytic and Quasi-Analytic Vectors

Jan Rusinek

Bulletin of the Polish Academy of Sciences. Mathematics (2004)

  • Volume: 52, Issue: 1, page 39-46
  • ISSN: 0239-7269

Abstract

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For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.

How to cite

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Jan Rusinek. "Generalized Analytic and Quasi-Analytic Vectors." Bulletin of the Polish Academy of Sciences. Mathematics 52.1 (2004): 39-46. <http://eudml.org/doc/280725>.

@article{JanRusinek2004,
abstract = {For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.},
author = {Jan Rusinek},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {analytic vector; essentially selfadjoint operator},
language = {eng},
number = {1},
pages = {39-46},
title = {Generalized Analytic and Quasi-Analytic Vectors},
url = {http://eudml.org/doc/280725},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Jan Rusinek
TI - Generalized Analytic and Quasi-Analytic Vectors
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 1
SP - 39
EP - 46
AB - For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.
LA - eng
KW - analytic vector; essentially selfadjoint operator
UR - http://eudml.org/doc/280725
ER -

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