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Алгебра и анализ, 1992, том 4, выпуск 5, страницы 1–44 (Mi aa343)  

Эта публикация цитируется в 96 научных статьях (всего в 96 статьях)

Обзоры

Функция спектрального сдвига. Работы М. Г. Крейна и их дальнейшее развитие

М. Ш. Бирман, Д. Р. Яфаев


Ключевые слова: спектральная теория возмущений, формула следов, функция спектрального сдвига, волновые операторы.

Полный текст: PDF файл (2365 kB)

Англоязычная версия:
St. Petersburg Mathematical Journal, 1993, 4:5, 833–870

Реферативные базы данных:

Поступила в редакцию: 15.06.1992

Образец цитирования: М. Ш. Бирман, Д. Р. Яфаев, “Функция спектрального сдвига. Работы М. Г. Крейна и их дальнейшее развитие”, Алгебра и анализ, 4:5 (1992), 1–44; St. Petersburg Math. J., 4:5 (1993), 833–870

Цитирование в формате AMSBIB
\RBibitem{BirYaf92}
\by М.~Ш.~Бирман, Д.~Р.~Яфаев
\paper Функция спектрального сдвига. Работы М.\,Г.~Крейна и их дальнейшее развитие
\jour Алгебра и анализ
\yr 1992
\vol 4
\issue 5
\pages 1--44
\mathnet{http://mi.mathnet.ru/aa343}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1202723}
\zmath{https://zbmath.org/?q=an:0791.47013}
\transl
\jour St. Petersburg Math. J.
\yr 1993
\vol 4
\issue 5
\pages 833--870


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    Эта публикация цитируется в следующих статьяx:
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    4. Robert, D, “Trace formulas and Dirichlet-Neumann problems with variable boundary: The scalar case”, Helvetica Physica Acta, 69:2 (1996), 158  mathscinet  zmath  isi
    5. Rybkin, AV, “On A-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory”, Duke Mathematical Journal, 83:3 (1996), 683  crossref  mathscinet  zmath  isi
    6. Smilansky, U, “The smooth spectral counting function and the total phase shift for quantum billiards”, Journal of Physics A-Mathematical and General, 29:10 (1996), 2587  crossref  mathscinet  zmath  adsnasa  isi
    7. Primack, H, “Penumbra diffraction in the semiclassical quantization of concave billiards”, Journal of Physics A-Mathematical and General, 30:19 (1997), 6693  crossref  mathscinet  zmath  adsnasa  isi
    8. Khoruzhenko, BA, “The localization of surface states: an exactly solvable model”, Physics Reports-Review Section of Physics Letters, 288:1–6 (1997), 109  zmath  isi
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    34. А. Б. Пушницкий, М. В. Ружанский, “Функция спектрального сдвига оператора Шрёдингера в пределе большой константы связи”, Функц. анализ и его прил., 36:3 (2002), 93–95  mathnet  crossref  mathscinet  zmath; A. B. Pushnitskii, M. V. Ruzhansky, “Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit”, Funct. Anal. Appl., 36:3 (2002), 250–252  crossref  isi
    35. Hislop, PD, “The integrated density of states for some random operators with nonsign definite potentials”, Journal of Functional Analysis, 195:1 (2002), 12  crossref  mathscinet  zmath  isi
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    38. Carron, G, “Relarive determinant and the XI function”, American Journal of Mathematics, 124:2 (2002), 307  crossref  mathscinet  zmath  isi
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    40. Klopp, F, “Anderson localization for 2D discrete Schrodinger operators with random magnetic fields”, Annales Henri Poincare, 4:4 (2003), 795  crossref  mathscinet  zmath  isi
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    42. Albeverio, S, “Graph subspaces and the spectral shift function”, Canadian Journal of Mathematics-Journal Canadien de Mathematiques, 55:3 (2003), 449  mathscinet  zmath  isi
    43. Combes, JM, “Holder continuity of the integrated density of states for some random operators at all energies”, International Mathematics Research Notices, 2003, no. 4, 179  crossref  mathscinet  zmath  isi
    44. Korotyaev, E, “Trace formulae and high energy asymptotics for the stark operator”, Communications in Partial Differential Equations, 28:3–4 (2003), 817  crossref  mathscinet  zmath  isi
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    60. Садовничий B.А., Подольский В.Е., “Об обобщенной функции спектрального сдвига и связи формул следа Крейна и Гельфанда-Левитана”, Докл. РАН, 402:3 (2005), 311–312  mathnet  mathscinet
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