The regularized trace formula for a differential operator with unbounded operator coefficient

Erdoǧan Şen; Azad Bayramov; Kamil Oruçoǧlu

The regularized trace formula for a differential operator with unbounded operator coefficient

Erdoǧan Şen
, Azad Bayramov
, Kamil Oruçoǧlu

Matematik Bölümü

Namik Kemal University
Istanbul Technical University
Recep Tayyip Erdogan University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

Özet

In this paper, firstly we investigated the spectrum and resolvent operator of a Sturm-Liouville type differential operator. Finally we have obtained the regularized trace formula for differential operator equation with unbounded operator coefficient.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	583-590
Sayfa sayısı	8
Dergi	Advanced Studies in Contemporary Mathematics (Kyungshang)
Hacim	25
Basın numarası	4
Yayın durumu	Yayınlandı - Eki 2015

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Alıntı Yap

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title = "The regularized trace formula for a differential operator with unbounded operator coefficient",

abstract = "In this paper, firstly we investigated the spectrum and resolvent operator of a Sturm-Liouville type differential operator. Finally we have obtained the regularized trace formula for differential operator equation with unbounded operator coefficient.",

keywords = "Discrete spectrum, Hilbert space, Nuclear operator, Regularized trace, Resolvent",

author = "Erdoǧan {\c S}en and Azad Bayramov and Kamil Oru{\c c}oǧlu",

year = "2015",

month = oct,

language = "English",

volume = "25",

pages = "583--590",

journal = "Advanced Studies in Contemporary Mathematics (Kyungshang)",

issn = "1229-3067",

publisher = "Jangjeon Mathematical Society",

number = "4",

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TY - JOUR

T1 - The regularized trace formula for a differential operator with unbounded operator coefficient

AU - Şen, Erdoǧan

AU - Bayramov, Azad

AU - Oruçoǧlu, Kamil

PY - 2015/10

Y1 - 2015/10

N2 - In this paper, firstly we investigated the spectrum and resolvent operator of a Sturm-Liouville type differential operator. Finally we have obtained the regularized trace formula for differential operator equation with unbounded operator coefficient.

AB - In this paper, firstly we investigated the spectrum and resolvent operator of a Sturm-Liouville type differential operator. Finally we have obtained the regularized trace formula for differential operator equation with unbounded operator coefficient.

KW - Discrete spectrum

KW - Hilbert space

KW - Nuclear operator

KW - Regularized trace

KW - Resolvent

UR - https://www.scopus.com/pages/publications/84977260106

M3 - Article

AN - SCOPUS:84977260106

SN - 1229-3067

VL - 25

SP - 583

EP - 590

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

IS - 4

ER -

The regularized trace formula for a differential operator with unbounded operator coefficient

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