Dirac systems with regular and singular transmission effects

Ekin UĞURLU (Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü, Ankara, Türkiye)
Turkish Journal of Mathematics
0 0
Yıl: 2017 Cilt: 41 Sayı: 1 Sayfa Aralığı: 193 - 210 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Dirac systems with regular and singular transmission effects

Öz:
In this paper, we investigate the spectral properties of singular eigenparameter dependent dissipative problems in Weyl s limit-circle case with finite transmission conditions. In particular, these transmission conditions are assumed to be regular and singular. To analyze these problems we construct suitable Hilbert spaces with special inner products and linear operators associated with these problems. Using the equivalence of the Lax Phillips scattering function and Sz-Nagy Foia¸s characteristic functions we prove that all root vectors of these dissipative operators are complete in Hilbert spaces.
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Uğurlu E (2017). Dirac systems with regular and singular transmission effects. , 193 - 210.
Chicago Uğurlu Ekin Dirac systems with regular and singular transmission effects. (2017): 193 - 210.
MLA Uğurlu Ekin Dirac systems with regular and singular transmission effects. , 2017, ss.193 - 210.
AMA Uğurlu E Dirac systems with regular and singular transmission effects. . 2017; 193 - 210.
Vancouver Uğurlu E Dirac systems with regular and singular transmission effects. . 2017; 193 - 210.
IEEE Uğurlu E "Dirac systems with regular and singular transmission effects." , ss.193 - 210, 2017.
ISNAD Uğurlu, Ekin. "Dirac systems with regular and singular transmission effects". (2017), 193-210.
APA Uğurlu E (2017). Dirac systems with regular and singular transmission effects. Turkish Journal of Mathematics, 41(1), 193 - 210.
Chicago Uğurlu Ekin Dirac systems with regular and singular transmission effects. Turkish Journal of Mathematics 41, no.1 (2017): 193 - 210.
MLA Uğurlu Ekin Dirac systems with regular and singular transmission effects. Turkish Journal of Mathematics, vol.41, no.1, 2017, ss.193 - 210.
AMA Uğurlu E Dirac systems with regular and singular transmission effects. Turkish Journal of Mathematics. 2017; 41(1): 193 - 210.
Vancouver Uğurlu E Dirac systems with regular and singular transmission effects. Turkish Journal of Mathematics. 2017; 41(1): 193 - 210.
IEEE Uğurlu E "Dirac systems with regular and singular transmission effects." Turkish Journal of Mathematics, 41, ss.193 - 210, 2017.
ISNAD Uğurlu, Ekin. "Dirac systems with regular and singular transmission effects". Turkish Journal of Mathematics 41/1 (2017), 193-210.
Sayfa Oluşturulma Tarihi
23-04-2024 3:13

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