Riesz bases of normalized reproducing kernels in Fock type spaces
We describe some radial Fock type spaces which possess Riesz bases of normalized reproducing kernels, the spaces F φ of entire functions f such that f e - φ ∈ L 2 ( C ) , where φ ( z ) = φ ( | z | ) is a radial subharmonic function. We prove that F φ has Riesz basis of normalized reproducing kernels...
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| Veröffentlicht in: | Analysis and mathematical physics 2022-02, Vol.12 (1), Article 11 |
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| creator | Isaev, K. P. Yulmukhametov, R. S. |
| description | We describe some radial Fock type spaces which possess Riesz bases of normalized reproducing kernels, the spaces
F
φ
of entire functions
f
such that
f
e
-
φ
∈
L
2
(
C
)
, where
φ
(
z
)
=
φ
(
|
z
|
)
is a radial subharmonic function. We prove that
F
φ
has Riesz basis of normalized reproducing kernels for sufficiently regular
ψ
(
r
)
=
φ
(
e
r
)
such that
ψ
′
′
(
r
)
is bounded above. |
| doi_str_mv | 10.1007/s13324-021-00623-z |
| format | Article |
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F
φ
of entire functions
f
such that
f
e
-
φ
∈
L
2
(
C
)
, where
φ
(
z
)
=
φ
(
|
z
|
)
is a radial subharmonic function. We prove that
F
φ
has Riesz basis of normalized reproducing kernels for sufficiently regular
ψ
(
r
)
=
φ
(
e
r
)
such that
ψ
′
′
(
r
)
is bounded above.</description><identifier>ISSN: 1664-2368</identifier><identifier>EISSN: 1664-235X</identifier><identifier>DOI: 10.1007/s13324-021-00623-z</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Entire functions ; Kernels ; Mathematical Methods in Physics ; Mathematics ; Mathematics and Statistics</subject><ispartof>Analysis and mathematical physics, 2022-02, Vol.12 (1), Article 11</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021</rights><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-daf58334de411c7bef6efa2bbacfbce0323e4c6c02498451a74fbde07579feab3</citedby><cites>FETCH-LOGICAL-c319t-daf58334de411c7bef6efa2bbacfbce0323e4c6c02498451a74fbde07579feab3</cites><orcidid>0000-0002-3680-0048</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s13324-021-00623-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s13324-021-00623-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Isaev, K. P.</creatorcontrib><creatorcontrib>Yulmukhametov, R. S.</creatorcontrib><title>Riesz bases of normalized reproducing kernels in Fock type spaces</title><title>Analysis and mathematical physics</title><addtitle>Anal.Math.Phys</addtitle><description>We describe some radial Fock type spaces which possess Riesz bases of normalized reproducing kernels, the spaces
F
φ
of entire functions
f
such that
f
e
-
φ
∈
L
2
(
C
)
, where
φ
(
z
)
=
φ
(
|
z
|
)
is a radial subharmonic function. We prove that
F
φ
has Riesz basis of normalized reproducing kernels for sufficiently regular
ψ
(
r
)
=
φ
(
e
r
)
such that
ψ
′
′
(
r
)
is bounded above.</description><subject>Analysis</subject><subject>Entire functions</subject><subject>Kernels</subject><subject>Mathematical Methods in Physics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1664-2368</issn><issn>1664-235X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWGr_gKeA5-jkuz2WYlUoCKLgLWSzk7L92F2T9tD99a6u6M3TzOF93hkeQq453HIAe5e5lEIxEJwBGCFZd0ZG3BjFhNTv57-7mV6SSc4bAOBKG2XsiMxfKswdLXzGTJtI6ybt_a7qsKQJ29SUx1DVa7rFVOMu06qmyyZs6eHUIs2tD5ivyEX0u4yTnzkmb8v718UjWz0_PC3mKxYknx1Y6aOeSqlKVJwHW2A0GL0oCh9iERCkkKiCCSDUbKo091bFokSw2s4i-kKOyc3Q23_1ccR8cJvmmOr-pBMGpNLaAvQpMaRCanJOGF2bqr1PJ8fBfdlygy3X23LftlzXQ3KAch-u15j-qv-hPgHTV24x</recordid><startdate>20220201</startdate><enddate>20220201</enddate><creator>Isaev, K. P.</creator><creator>Yulmukhametov, R. S.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-3680-0048</orcidid></search><sort><creationdate>20220201</creationdate><title>Riesz bases of normalized reproducing kernels in Fock type spaces</title><author>Isaev, K. P. ; Yulmukhametov, R. S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-daf58334de411c7bef6efa2bbacfbce0323e4c6c02498451a74fbde07579feab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Analysis</topic><topic>Entire functions</topic><topic>Kernels</topic><topic>Mathematical Methods in Physics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Isaev, K. P.</creatorcontrib><creatorcontrib>Yulmukhametov, R. S.</creatorcontrib><collection>CrossRef</collection><jtitle>Analysis and mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Isaev, K. P.</au><au>Yulmukhametov, R. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Riesz bases of normalized reproducing kernels in Fock type spaces</atitle><jtitle>Analysis and mathematical physics</jtitle><stitle>Anal.Math.Phys</stitle><date>2022-02-01</date><risdate>2022</risdate><volume>12</volume><issue>1</issue><artnum>11</artnum><issn>1664-2368</issn><eissn>1664-235X</eissn><abstract>We describe some radial Fock type spaces which possess Riesz bases of normalized reproducing kernels, the spaces
F
φ
of entire functions
f
such that
f
e
-
φ
∈
L
2
(
C
)
, where
φ
(
z
)
=
φ
(
|
z
|
)
is a radial subharmonic function. We prove that
F
φ
has Riesz basis of normalized reproducing kernels for sufficiently regular
ψ
(
r
)
=
φ
(
e
r
)
such that
ψ
′
′
(
r
)
is bounded above.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s13324-021-00623-z</doi><orcidid>https://orcid.org/0000-0002-3680-0048</orcidid></addata></record> |
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| ispartof | Analysis and mathematical physics, 2022-02, Vol.12 (1), Article 11 |
| issn | 1664-2368 1664-235X |
| language | eng |
| recordid | cdi_proquest_journals_2603455700 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Analysis Entire functions Kernels Mathematical Methods in Physics Mathematics Mathematics and Statistics |
| title | Riesz bases of normalized reproducing kernels in Fock type spaces |
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