Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion
We consider the one-dimensional Dirac operator on a finite interval G = ( a, b ). We analyze the uniform componentwise equiconvergence of expansions in root vector functions of this operator with the trigonometric Fourier series on a compact set. Theorems on the componentwise equiconvergence on a co...
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| Veröffentlicht in: | Differential equations 2012-05, Vol.48 (5), p.655-669 |
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| container_title | Differential equations |
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| creator | Kurbanov, V. M. Ismailova, A. I. |
| description | We consider the one-dimensional Dirac operator on a finite interval
G
= (
a, b
). We analyze the uniform componentwise equiconvergence of expansions in root vector functions of this operator with the trigonometric Fourier series on a compact set. Theorems on the componentwise equiconvergence on a compact set and the componentwise localization principle are proved. |
| doi_str_mv | 10.1134/S0012266112050047 |
| format | Article |
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G
= (
a, b
). We analyze the uniform componentwise equiconvergence of expansions in root vector functions of this operator with the trigonometric Fourier series on a compact set. Theorems on the componentwise equiconvergence on a compact set and the componentwise localization principle are proved.</description><identifier>ISSN: 0012-2661</identifier><identifier>EISSN: 1608-3083</identifier><identifier>DOI: 10.1134/S0012266112050047</identifier><language>eng</language><publisher>Dordrecht: SP MAIK Nauka/Interperiodica</publisher><subject>Analysis ; Boundary conditions ; Difference and Functional Equations ; Differential equations ; Fourier series ; Fourier transforms ; Interval arithmetic ; Intervals ; Localization ; Mathematical analysis ; Mathematical functions ; Mathematics ; Mathematics and Statistics ; Operators ; Ordinary Differential Equations ; Partial Differential Equations ; Roots ; Studies ; Vectors (mathematics)</subject><ispartof>Differential equations, 2012-05, Vol.48 (5), p.655-669</ispartof><rights>Pleiades Publishing, Ltd. 2012</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-2a9b01d461379493bcf668af7cb86abc90e0575af9cc8396f06c1d609b86dd9a3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0012266112050047$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0012266112050047$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Kurbanov, V. M.</creatorcontrib><creatorcontrib>Ismailova, A. I.</creatorcontrib><title>Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion</title><title>Differential equations</title><addtitle>Diff Equat</addtitle><description>We consider the one-dimensional Dirac operator on a finite interval
G
= (
a, b
). We analyze the uniform componentwise equiconvergence of expansions in root vector functions of this operator with the trigonometric Fourier series on a compact set. Theorems on the componentwise equiconvergence on a compact set and the componentwise localization principle are proved.</description><subject>Analysis</subject><subject>Boundary conditions</subject><subject>Difference and Functional Equations</subject><subject>Differential equations</subject><subject>Fourier series</subject><subject>Fourier transforms</subject><subject>Interval arithmetic</subject><subject>Intervals</subject><subject>Localization</subject><subject>Mathematical analysis</subject><subject>Mathematical functions</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operators</subject><subject>Ordinary Differential Equations</subject><subject>Partial Differential Equations</subject><subject>Roots</subject><subject>Studies</subject><subject>Vectors (mathematics)</subject><issn>0012-2661</issn><issn>1608-3083</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kcFuGyEURVGUSnXcfkB3SNl0M-1jmGGGZeQkTaRIWbRdjzB-2FgeGANjt-v8eLAdqVWirECcc6-eeIR8YfCNMV59_wnAylIIxkqoAarmjEyYgLbg0PJzMjng4sA_kosY1wAgG1ZPyNPM94N36NLeRqSjs8aHnuJ2tNq7HYYlOo3UG4p_BuWi9S5S62jwPtEd6uQDNaPT6QiyllZIr21QmvoBgzrwvU2r43sKdumd7zFf9L_CT-SDUZuIn1_OKfl9e_Nrdlc8PP64n109FJpXMhWlknNgi0ow3shK8rk2QrTKNHreCjXXEhDqplZGat1yKQwIzRYCZMaLhVR8Sr6eeofgtyPG1PU2atxslEM_xo4Bb0vOZcmyevlKXfsxuDxdtrLDapn_dUrYydLBxxjQdEOwvQp_s9Qd1tK9WUvOlKdMzK5bYvi_-b3QM4XAkXw</recordid><startdate>20120501</startdate><enddate>20120501</enddate><creator>Kurbanov, V. 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M. ; Ismailova, A. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-2a9b01d461379493bcf668af7cb86abc90e0575af9cc8396f06c1d609b86dd9a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Analysis</topic><topic>Boundary conditions</topic><topic>Difference and Functional Equations</topic><topic>Differential equations</topic><topic>Fourier series</topic><topic>Fourier transforms</topic><topic>Interval arithmetic</topic><topic>Intervals</topic><topic>Localization</topic><topic>Mathematical analysis</topic><topic>Mathematical functions</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operators</topic><topic>Ordinary Differential Equations</topic><topic>Partial Differential Equations</topic><topic>Roots</topic><topic>Studies</topic><topic>Vectors (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kurbanov, V. 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G
= (
a, b
). We analyze the uniform componentwise equiconvergence of expansions in root vector functions of this operator with the trigonometric Fourier series on a compact set. Theorems on the componentwise equiconvergence on a compact set and the componentwise localization principle are proved.</abstract><cop>Dordrecht</cop><pub>SP MAIK Nauka/Interperiodica</pub><doi>10.1134/S0012266112050047</doi><tpages>15</tpages></addata></record> |
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| language | eng |
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| subjects | Analysis Boundary conditions Difference and Functional Equations Differential equations Fourier series Fourier transforms Interval arithmetic Intervals Localization Mathematical analysis Mathematical functions Mathematics Mathematics and Statistics Operators Ordinary Differential Equations Partial Differential Equations Roots Studies Vectors (mathematics) |
| title | Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion |
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