A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator
Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference exp...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Aygar, Yelda [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Basel 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Complex analysis and operator theory - Cham (ZG) : Springer International Publishing AG, 2007, 10(2015), 6 vom: 10. Mai, Seite 1171-1180 |
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| Übergeordnetes Werk: |
volume:10 ; year:2015 ; number:6 ; day:10 ; month:05 ; pages:1171-1180 |
| Links: |
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| DOI / URN: |
10.1007/s11785-015-0463-x |
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| Katalog-ID: |
SPR022417435 |
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| 100 | 1 | |a Aygar, Yelda |e verfasserin |0 (orcid)0000-0002-5550-3073 |4 aut | |
| 245 | 1 | 2 | |a A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator |
| 264 | 1 | |c 2015 | |
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| 520 | |a Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. | ||
| 650 | 4 | |a Spectral Analysis |7 (dpeaa)DE-He213 | |
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| 650 | 4 | |a Analytical Property |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Difference Expression |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Bohner, Martin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Complex analysis and operator theory |d Cham (ZG) : Springer International Publishing AG, 2007 |g 10(2015), 6 vom: 10. Mai, Seite 1171-1180 |w (DE-627)527571288 |w (DE-600)2276146-9 |x 1661-8262 |7 nnns |
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10.1007/s11785-015-0463-x doi (DE-627)SPR022417435 (SPR)s11785-015-0463-x-e DE-627 ger DE-627 rakwb eng Aygar, Yelda verfasserin (orcid)0000-0002-5550-3073 aut A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel 2015 Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. Spectral Analysis (dpeaa)DE-He213 Difference Equation (dpeaa)DE-He213 Spectral Parameter (dpeaa)DE-He213 Analytical Property (dpeaa)DE-He213 Difference Expression (dpeaa)DE-He213 Bohner, Martin aut Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 10(2015), 6 vom: 10. Mai, Seite 1171-1180 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:10 year:2015 number:6 day:10 month:05 pages:1171-1180 https://dx.doi.org/10.1007/s11785-015-0463-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 10 2015 6 10 05 1171-1180 |
| spelling |
10.1007/s11785-015-0463-x doi (DE-627)SPR022417435 (SPR)s11785-015-0463-x-e DE-627 ger DE-627 rakwb eng Aygar, Yelda verfasserin (orcid)0000-0002-5550-3073 aut A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel 2015 Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. Spectral Analysis (dpeaa)DE-He213 Difference Equation (dpeaa)DE-He213 Spectral Parameter (dpeaa)DE-He213 Analytical Property (dpeaa)DE-He213 Difference Expression (dpeaa)DE-He213 Bohner, Martin aut Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 10(2015), 6 vom: 10. Mai, Seite 1171-1180 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:10 year:2015 number:6 day:10 month:05 pages:1171-1180 https://dx.doi.org/10.1007/s11785-015-0463-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 10 2015 6 10 05 1171-1180 |
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10.1007/s11785-015-0463-x doi (DE-627)SPR022417435 (SPR)s11785-015-0463-x-e DE-627 ger DE-627 rakwb eng Aygar, Yelda verfasserin (orcid)0000-0002-5550-3073 aut A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel 2015 Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. Spectral Analysis (dpeaa)DE-He213 Difference Equation (dpeaa)DE-He213 Spectral Parameter (dpeaa)DE-He213 Analytical Property (dpeaa)DE-He213 Difference Expression (dpeaa)DE-He213 Bohner, Martin aut Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 10(2015), 6 vom: 10. Mai, Seite 1171-1180 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:10 year:2015 number:6 day:10 month:05 pages:1171-1180 https://dx.doi.org/10.1007/s11785-015-0463-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 10 2015 6 10 05 1171-1180 |
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10.1007/s11785-015-0463-x doi (DE-627)SPR022417435 (SPR)s11785-015-0463-x-e DE-627 ger DE-627 rakwb eng Aygar, Yelda verfasserin (orcid)0000-0002-5550-3073 aut A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel 2015 Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. Spectral Analysis (dpeaa)DE-He213 Difference Equation (dpeaa)DE-He213 Spectral Parameter (dpeaa)DE-He213 Analytical Property (dpeaa)DE-He213 Difference Expression (dpeaa)DE-He213 Bohner, Martin aut Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 10(2015), 6 vom: 10. Mai, Seite 1171-1180 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:10 year:2015 number:6 day:10 month:05 pages:1171-1180 https://dx.doi.org/10.1007/s11785-015-0463-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 10 2015 6 10 05 1171-1180 |
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10.1007/s11785-015-0463-x doi (DE-627)SPR022417435 (SPR)s11785-015-0463-x-e DE-627 ger DE-627 rakwb eng Aygar, Yelda verfasserin (orcid)0000-0002-5550-3073 aut A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel 2015 Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. Spectral Analysis (dpeaa)DE-He213 Difference Equation (dpeaa)DE-He213 Spectral Parameter (dpeaa)DE-He213 Analytical Property (dpeaa)DE-He213 Difference Expression (dpeaa)DE-He213 Bohner, Martin aut Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 10(2015), 6 vom: 10. Mai, Seite 1171-1180 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:10 year:2015 number:6 day:10 month:05 pages:1171-1180 https://dx.doi.org/10.1007/s11785-015-0463-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 10 2015 6 10 05 1171-1180 |
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Enthalten in Complex analysis and operator theory 10(2015), 6 vom: 10. Mai, Seite 1171-1180 volume:10 year:2015 number:6 day:10 month:05 pages:1171-1180 |
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Aygar, Yelda @@aut@@ Bohner, Martin @@aut@@ |
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Aygar, Yelda |
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A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator Spectral Analysis (dpeaa)DE-He213 Difference Equation (dpeaa)DE-He213 Spectral Parameter (dpeaa)DE-He213 Analytical Property (dpeaa)DE-He213 Difference Expression (dpeaa)DE-He213 |
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A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator |
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polynomial-type jost solution and spectral properties of a self-adjoint quantum-difference operator |
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A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator |
| abstract |
Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. © Springer Basel 2015 |
| abstractGer |
Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. © Springer Basel 2015 |
| abstract_unstemmed |
Abstract In this paper, we find a polynomial-type Jost solution of a self-adjoint %$q%$-difference equation of second order. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. We prove that the self-adjoint operator %$L%$ generated by the %$q%$-difference expression of second order has essential spectrum filling the segment %$[-2\sqrt{q},2\sqrt{q}]%$, %$q>1%$. Finally, we examine the properties of the eigenvalues of %$L%$. © Springer Basel 2015 |
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A Polynomial-Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference Operator |
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2024-07-04T02:59:30.160Z |
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