New Paley–Wiener Theorems

In this paper, for an arbitrary fixed compact set K , we find necessary and sufficient conditions on the Taylor expansion coefficients of entire functions of exponential type so that these functions are the Fourier image of distributions supported in K . In other words, we state the Paley–Wiener the...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Complex analysis and operator theory 2020-06, Vol.14 (4), Article 47
Hauptverfasser:	Bang, Ha Huy, Huy, Vu Nhat
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Entire functions Higher Dimensional Geometric Function Theory and Hypercomplex Analysis Mathematics Mathematics and Statistics Operator Theory Taylor series Theorems Thermal expansion
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page
container_issue	4
container_start_page
container_title	Complex analysis and operator theory
container_volume	14
creator	Bang, Ha Huy Huy, Vu Nhat
description	In this paper, for an arbitrary fixed compact set K , we find necessary and sufficient conditions on the Taylor expansion coefficients of entire functions of exponential type so that these functions are the Fourier image of distributions supported in K . In other words, we state the Paley–Wiener theorem in the language of Taylor expansion coefficients.
doi_str_mv	10.1007/s11785-020-01005-2
format	Article
fullrecord	<record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2407344731</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2407344731</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-b0fbe1689bea04e7f386e01eea5b2495cc3075d51fe973787ec40aa865f10a323</originalsourceid><addsrcrecordid>eNp9kE1KA0EQRhtRMEYvoJuA69aq_p1eStAoBHURcdn0jNWakMzE7gTJzjt4Q0_ixBHduaqieN9X8Bg7RjhDAHueEW2hOQjg0B40Fzush8YgL4QRu7-7VvvsIOcZgAHrXI-d3NLb4D7MafP5_vE4pZrSYPJCTaJFPmR7McwzHf3MPnu4upwMr_n4bnQzvBjzSqJb8RJiSWgKV1IARTbKwhAgUdClUE5XlQSrnzRGclbawlKlIITC6IgQpJB9dtr1LlPzuqa88rNmner2pRcKrFTKSmwp0VFVanJOFP0yTRchbTyC30rwnQTfSvDfEvy2Wnah3ML1M6W_6n9SX-dPXdM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2407344731</pqid></control><display><type>article</type><title>New Paley–Wiener Theorems</title><source>SpringerNature Complete Journals</source><creator>Bang, Ha Huy ; Huy, Vu Nhat</creator><creatorcontrib>Bang, Ha Huy ; Huy, Vu Nhat</creatorcontrib><description>In this paper, for an arbitrary fixed compact set K , we find necessary and sufficient conditions on the Taylor expansion coefficients of entire functions of exponential type so that these functions are the Fourier image of distributions supported in K . In other words, we state the Paley–Wiener theorem in the language of Taylor expansion coefficients.</description><identifier>ISSN: 1661-8254</identifier><identifier>EISSN: 1661-8262</identifier><identifier>DOI: 10.1007/s11785-020-01005-2</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Entire functions ; Higher Dimensional Geometric Function Theory and Hypercomplex Analysis ; Mathematics ; Mathematics and Statistics ; Operator Theory ; Taylor series ; Theorems ; Thermal expansion</subject><ispartof>Complex analysis and operator theory, 2020-06, Vol.14 (4), Article 47</ispartof><rights>Springer Nature Switzerland AG 2020</rights><rights>Springer Nature Switzerland AG 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-b0fbe1689bea04e7f386e01eea5b2495cc3075d51fe973787ec40aa865f10a323</citedby><cites>FETCH-LOGICAL-c319t-b0fbe1689bea04e7f386e01eea5b2495cc3075d51fe973787ec40aa865f10a323</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11785-020-01005-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11785-020-01005-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Bang, Ha Huy</creatorcontrib><creatorcontrib>Huy, Vu Nhat</creatorcontrib><title>New Paley–Wiener Theorems</title><title>Complex analysis and operator theory</title><addtitle>Complex Anal. Oper. Theory</addtitle><description>In this paper, for an arbitrary fixed compact set K , we find necessary and sufficient conditions on the Taylor expansion coefficients of entire functions of exponential type so that these functions are the Fourier image of distributions supported in K . In other words, we state the Paley–Wiener theorem in the language of Taylor expansion coefficients.</description><subject>Analysis</subject><subject>Entire functions</subject><subject>Higher Dimensional Geometric Function Theory and Hypercomplex Analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operator Theory</subject><subject>Taylor series</subject><subject>Theorems</subject><subject>Thermal expansion</subject><issn>1661-8254</issn><issn>1661-8262</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kE1KA0EQRhtRMEYvoJuA69aq_p1eStAoBHURcdn0jNWakMzE7gTJzjt4Q0_ixBHduaqieN9X8Bg7RjhDAHueEW2hOQjg0B40Fzush8YgL4QRu7-7VvvsIOcZgAHrXI-d3NLb4D7MafP5_vE4pZrSYPJCTaJFPmR7McwzHf3MPnu4upwMr_n4bnQzvBjzSqJb8RJiSWgKV1IARTbKwhAgUdClUE5XlQSrnzRGclbawlKlIITC6IgQpJB9dtr1LlPzuqa88rNmner2pRcKrFTKSmwp0VFVanJOFP0yTRchbTyC30rwnQTfSvDfEvy2Wnah3ML1M6W_6n9SX-dPXdM</recordid><startdate>20200601</startdate><enddate>20200601</enddate><creator>Bang, Ha Huy</creator><creator>Huy, Vu Nhat</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200601</creationdate><title>New Paley–Wiener Theorems</title><author>Bang, Ha Huy ; Huy, Vu Nhat</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-b0fbe1689bea04e7f386e01eea5b2495cc3075d51fe973787ec40aa865f10a323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analysis</topic><topic>Entire functions</topic><topic>Higher Dimensional Geometric Function Theory and Hypercomplex Analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operator Theory</topic><topic>Taylor series</topic><topic>Theorems</topic><topic>Thermal expansion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bang, Ha Huy</creatorcontrib><creatorcontrib>Huy, Vu Nhat</creatorcontrib><collection>CrossRef</collection><jtitle>Complex analysis and operator theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bang, Ha Huy</au><au>Huy, Vu Nhat</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New Paley–Wiener Theorems</atitle><jtitle>Complex analysis and operator theory</jtitle><stitle>Complex Anal. Oper. Theory</stitle><date>2020-06-01</date><risdate>2020</risdate><volume>14</volume><issue>4</issue><artnum>47</artnum><issn>1661-8254</issn><eissn>1661-8262</eissn><abstract>In this paper, for an arbitrary fixed compact set K , we find necessary and sufficient conditions on the Taylor expansion coefficients of entire functions of exponential type so that these functions are the Fourier image of distributions supported in K . In other words, we state the Paley–Wiener theorem in the language of Taylor expansion coefficients.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s11785-020-01005-2</doi></addata></record>
fulltext	fulltext
identifier	ISSN: 1661-8254
ispartof	Complex analysis and operator theory, 2020-06, Vol.14 (4), Article 47
issn	1661-8254 1661-8262
language	eng
recordid	cdi_proquest_journals_2407344731
source	SpringerNature Complete Journals
subjects	Analysis Entire functions Higher Dimensional Geometric Function Theory and Hypercomplex Analysis Mathematics Mathematics and Statistics Operator Theory Taylor series Theorems Thermal expansion
title	New Paley–Wiener Theorems
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-27T21%3A02%3A57IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=New%20Paley%E2%80%93Wiener%20Theorems&rft.jtitle=Complex%20analysis%20and%20operator%20theory&rft.au=Bang,%20Ha%20Huy&rft.date=2020-06-01&rft.volume=14&rft.issue=4&rft.artnum=47&rft.issn=1661-8254&rft.eissn=1661-8262&rft_id=info:doi/10.1007/s11785-020-01005-2&rft_dat=%3Cproquest_cross%3E2407344731%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2407344731&rft_id=info:pmid/&rfr_iscdi=true