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Found 219 Documents (Results 1–100)

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Elliptic differential operators with periodic and oscillating decaying coefficients. (English) Zbl 1466.81018

Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 1-24 (2021).
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Hermitian metrics on the resolvent set and extremal arc length. (English) Zbl 07299693

Curto, Raul E. (ed.) et al., Operator theory, operator algebras and their interactions with geometry and topology. Ronald G. Douglas memorial volume. Proceedings of the international workshop on operator theory and applications (IWOTA 2018), Shanghai, China, July 23–27, 2018. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 278, 487-499 (2020).
MSC:  47A13 53A35
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An overview of complex fractal dimensions: from fractal strings to fractal drums, and back. (English) Zbl 1423.28023

Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 143-265 (2019).
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Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. (English. Russian original) Zbl 06835367

Funct. Anal. Appl. 51, No. 3, 185-203 (2017); translation from Funkts. Anal. Prilozh. 51, No. 3, 33-55 (2017).
MSC:  47A56
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The spectral shift function and the Witten index. (English) Zbl 06981831

Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 254, 71-105 (2016).
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Krein’s trace formula for unitary operators and operator Lipschitz functions. (English. Russian original) Zbl 1450.47009

Funct. Anal. Appl. 50, No. 3, 167-175 (2016); translation from Funkts. Anal. Prilozh. 50, No. 3, 1-11 (2016).
MSC:  47A60 47A63
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Trace formulae in operator theory. (English) Zbl 1353.47006

Bhattacharyya, Tirthankar (ed.) et al., Operator algebras and mathematical physics. 24th international workshop in operator theory and its applications, IWOTA, Bangalore, India, December 16–20, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-18181-3/hbk; 978-3-319-18182-0/ebook). Operator Theory: Advances and Applications 247, 1-36 (2015).
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The sound of fractal strings and the Riemann hypothesis. (English) Zbl 1336.28004

Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 201-252 (2015).
MSC:  28A75 28A80 11M06
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Theory of stellar atmospheres. An introduction to astrophysical non-equilibrium quantitative spectroscopic analysis. (English) Zbl 1309.85001

Princeton Series in Astrophysics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16329-1/pbk; 978-0-691-16328-4/hbk; 978-1-400-85273-4/ebook). xvi, 923 p. (2015).
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Mathematical scattering theory. Analytic theory. (English) Zbl 1197.35006

Mathematical Surveys and Monographs 158. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-0331-8/hbk). xiii, 444 p. (2010).
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Perturbation determinant, Krein’s shift function and index theorem. (English) Zbl 1204.47014

Narasimha Sastry, N. S. (ed.) et al., Perspectives in mathematical sciences II. Pure mathematics. Papers of the conference on perspectives in mathematical sciences, Bangalore, India, February 4–8, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4273-64-0/hbk). Statistical Science and Interdisciplinary Research 8; Platinum Jubilee Series, 157-171 (2009).
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Trace formulae for dissipative and coupled scattering systems. (English) Zbl 1175.47008

Behrndt, Jussi (ed.) et al., Spectral theory in inner product spaces and applications. Papers of the 6th workshop on operator theory in Krein spaces and operator polynomials, TU Berlin, Germany, December 14–17, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8910-9/hbk). Operator Theory: Advances and Applications 188, 49-85 (2009).
MSC:  47A40 47A55 47B44
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The spectral flow, the Fredholm index and the spectral shift function. (English) Zbl 1168.47010

Suslina, T. (ed.) et al., Spectral theory of differential operators. M. Sh. Birman 80th anniversary collection. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4738-1/hbk). Translations. Series 2. American Mathematical Society 225; Advances in the Mathematical Sciences 62, 141-155 (2008).
MSC:  47A53 47A55
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Existence and regularity properties of the integrated density of states of random Schrödinger operators. (English) Zbl 1189.82004

Lecture Notes in Mathematics 1917. Berlin: Springer (ISBN 978-3-540-72689-0/pbk). x, 142 p. (2008).
MSC:  82-02 82B44
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The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. (English) Zbl 1222.47072

Funct. Anal. Appl. 41, No. 3, 217-236 (2007); translation from Funkts. Anal. Prilozh. 41, No. 3, 60-83 (2007).
MSC:  47F05 35P20
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