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References
a) Monographs, textbooks, proceedings:
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A.S. Holevo: Probabilistic and Statistical Aspects of the Quantum Theory, Nauka, Moscow 1980 (in Russian; English translation: North-Holland, Amsterdam 1982).
L. Hörmander: The Analysis of Linear Partial Differential Operators III, Springer, Berlin 1985; corrected reprint 1994.
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C. Itzykson, J.—B. Zuber: Quantum Field Theory, McGraw—Hill, New York 1980.
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V. Jarník: Integral Calculus II, 2nd edition, Academia, Prague 1976 (in Czech).
J.M. Jauch: Foundations of Quantum Mechanics, Addison-Wesley, Reading, MA 1968.
T.F. Jordan: Linear Operators for Quantum Mechanics, Wiley, New York 1969.
K. J örgens, J. Weidmann: Spectral Properties of Hamiltonian Operators, Lecture Notes in Mathematics, vol. 313, Springer, Berlin 1973.
E. Kamke: Differentialgleichungen realer Funktionen, Akademische Verlagsges-selschaft, Leipzig 1956.
D. Kastler, ed.: C‡-algebras and Their Applications to Statistical Mechanics and Quantum Field Theory, North—Holland, Amsterdam 1976.
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J.L. Kelley: General Topology, Van Nostrand, Toronto 1957; reprinted by Springer, Graduate Texts in Mathematics, No. 27, New York 1975.
A.A. Kirillov: Elements of the Representation Theory, 2nd edition, Nauka, Moscow 1978 (in Russian; French translation: Mir, Moscow 1974).
A.A. Kirillov, A.D. Gvišiani: Theorems and Problems of Functional Analysis, Nauka, Moscow 1979 (in Russian; French translation: Mir, Moscow 1982).
J.R. Klauder, B.-S. Skagerstam, eds.: Coherent States. Applications in Physics and Mathematical Physics, World Scientific, Singapore 1985.
W. Klingenberg: A Course in Differential Geometry, Springer, New York 1978.
A.N. Kolmogorov, S.V. Fomin: Elements of Function Theory and Functional Analysis, 4th edition, Nauka, Moscow 1976 (in Russian; English translation of the 2nd ed.: Graylock 1961; French translation of the 3rd edition: Mir, Moscow 1974).
H.-H. Kuo: Gaussian Measures in Banach Spaces, Lecture Notes in Mathematics, vol. 463, Springer, Berlin 1975.
A.G. Kuroš: Lectures on General Algebra, 2nd edition, Nauka, Moscow 1973 (in Russian).
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E.M. Loebl, ed.: Group Theory and Its Applications I–III, Academic, New York 1967.
J.T. Londergan, J.P. Carini, D.P. Murdock: Binding and Scattering in Two-Dimensional Systems. Applications to Quantum Wires, Waveguides and Photonic Crystals, Springer LNP m60, Berlin 1999.
G. Ludwig: Foundations of Quantum Mechanics I, II, Springer, Berlin 1983,1985.
G. Ludwig: An Axiomatic Basis for Quantum Mechanics, I. Derivation of Hilbert Space Structure, Springer, Berlin 1985.
S. Lundquist, A. Ranfagni, Y. Sa—yakanit, L.S. Schulman: Path Summation: Achievements and Goals, World Scientific, Singapore 1988.
G. Mackey: Mathematical Foundations of Quantum Mechanics, Benjamin, New York 1963; reprinted by Dover Publications INC., Mineola, NY, 2004.
G. Mackey: Induced Representations of Groups and Quantum Mechanics, W.A. Benjamin, New York 1968.
S. MacLane, G. Birkhoff: Algebra, 2nd edition, Macmillan, New York 1979.
A.I. Markuševič: A Short Course on the Theory of Entire Functions, 2nd edition, Fizmatgiz, Moscow 1961 (in Russian; English translation: Amer. Elsevier 1966).
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b) Research and review papers:
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S. Alama, P. Deift, R. Hempel: Eigenvalue branches of Schrodinger operator H — λW in a gap of σ(H), Commun. Math. Phys. 121 (1989), 291–321.
S. Albeverio: On bound states in the continuum of N—body systems and the virial theorem, Ann. Phys. 71 (1972), 167–276.
S. Albeverio, C. Cacciapuoti, D. Finco: Coupling in the singular limit of thin quantum waveguides, J. Math. Phys. 48 (2007), 032103.
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J. Anderson: Extensions, restrictions and representations of C*—algebras,Trans. Am. Math. Soc. 249 (1979), 303–329.
J.—P. Antoine, F. Gesztesy, J. Shabani: Exactly solvable models of sphere interactions in quantum mechanics, J. Phys. A20 (1987), 3687–3712.
J.—P. Antoine, A. Inoue, C. Trapani: Partial *—algebras of closed operators,I. Basic theory and the Abelian case, Publ. RIMS 26 (1990), 359–395.
J.—P. Antoine, W. Karwowski: Partial *—algebras of Hilbert space operators,in Proceedings of the 2nd Conference on Operator Algebras, Ideals and Their Applications in Theoretical Physics (H. Baumgärtel et al., eds.), Teubner, Leipzig 1984;pp. 29–39.
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H. Araki: C*—approach in quantum field theory, Physica Scripta 24 (1981),981–985.
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M.S. Ashbaugh, R.D. Benguria: A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions, Ann. Math. 135 (1992), 601–628.
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M.S. Ashbaugh, C. Sundberg: An improved stability result for resonances,Trans. Am. Math. Soc. 281 (1984), 347–360.
A. Avila, S. Jitomirskaya: Solving the ten Martini problem, Lecture Notes in Physics 690(2006), 5–16.
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V. Bargmann: Note on some integral inequalities, Helv. Phys. Acta 45 (1972),249–257.
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(2008). Scattering theory. In: Hilbert Space Operators in Quantum Physics. Theoretical and Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8870-4_15
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