Generalized q-Fock spaces and structural identities

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F24%3AA2502LP4" target="_blank" >RIV/61988987:17310/24:A2502LP4 - isvavai.cz</a>

Result on the web

<a href="https://www.ams.org/journals/proc/0000-000-00/S0002-9939-2024-16720-4/?active=current" target="_blank" >https://www.ams.org/journals/proc/0000-000-00/S0002-9939-2024-16720-4/?active=current</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/proc/16720" target="_blank" >10.1090/proc/16720</a>

Result language

angličtina

Original language name

Generalized q-Fock spaces and structural identities

Original language description

Using q-calculus we study a family of reproducing kernel Hilbert spaces which interpolate between the Hardy space and the Fock space. We give characterizations of these spaces in terms of classical operators such as integration and backward-shift operators, and their q-calculus counterparts. Furthermore, these new spaces allow us to study intertwining operators between classic backward-shift operators and the q-Jackson derivative.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Proceedings of the American Mathematical Society

ISSN

0002-9939

e-ISSN

1088-6826

Volume of the periodical

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Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

2463-2478

UT code for WoS article

001206008300001

EID of the result in the Scopus database

2-s2.0-85193020305