Finkelshtein, Dmitri; Kondratiev, Yuri; Lytvynov, Eugene; Oliveira, Maria João Stirling operators in spatial combinatorics. (English) Zbl 1505.46026 J. Funct. Anal. 282, No. 2, Article ID 109285, 45 p. (2022). MSC: 46E27 05A10 05A19 11B73 47B39 47B93 60G55 81S05 PDFBibTeX XMLCite \textit{D. Finkelshtein} et al., J. Funct. Anal. 282, No. 2, Article ID 109285, 45 p. (2022; Zbl 1505.46026) Full Text: DOI arXiv Link
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri; Röckner, Michael The statistical mechanics of quantum lattice systems. A path integral approach. (English) Zbl 1178.82001 EMS Tracts in Mathematics 8. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-070-8/hbk). xiii, 379 p. (2009). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 82-02 81-02 PDFBibTeX XMLCite \textit{S. Albeverio} et al., The statistical mechanics of quantum lattice systems. A path integral approach. Zürich: European Mathematical Society (EMS) (2009; Zbl 1178.82001) Full Text: DOI
Kargol, Alina; Kondratiev, Yuri; Kozitsky, Yuri Phase transitions and quantum stabilization in quantum anharmonic crystals. (English) Zbl 1151.82014 Rev. Math. Phys. 20, No. 5, 529-595 (2008). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B26 82B10 81S40 PDFBibTeX XMLCite \textit{A. Kargol} et al., Rev. Math. Phys. 20, No. 5, 529--595 (2008; Zbl 1151.82014) Full Text: DOI arXiv
Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João Analytic aspects of Poissonian white noise analysis. (English) Zbl 1007.60070 Methods Funct. Anal. Topol. 8, No. 4, 15-48 (2002). Reviewer: A.N.Kochubei (Kyïv) MSC: 60H40 81S99 60G55 28C20 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} et al., Methods Funct. Anal. Topol. 8, No. 4, 15--48 (2002; Zbl 1007.60070)
Kondratiev, Yuri G.; Lytvynov, Eugene W. Operators of gamma white noise calculus. (English) Zbl 1081.60536 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 303-335 (2000). MSC: 60H40 47N30 81S25 81T99 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} and \textit{E. W. Lytvynov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 303--335 (2000; Zbl 1081.60536) Full Text: DOI
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. (English) Zbl 0959.58009 Rev. Math. Phys. 11, No. 1, 1-23 (1999). Reviewer: Hiroaki Shimomura (Fukui) MSC: 58D05 81T08 60J99 81R10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rev. Math. Phys. 11, No. 1, 1--23 (1999; Zbl 0959.58009) Full Text: DOI
Zhizhina, E. A.; Kondrat’ev, Yu. G.; Minlos, R. A. Lower spectral branches of the Hamiltonians of infinite quantum systems with compact space of “spins”. (English. Russian original) Zbl 0965.47052 Trans. Mosc. Math. Soc. 1999, 225-262 (1999); translation from Tr. Mosk. Mat. O.-va 60, 259-302 (1999). MSC: 47N50 81S10 81T25 PDFBibTeX XML
Kondratiev, Yu. G.; Konstantinov, A. Yu.; Röckner, M.; Shchepan’uk, G. V. Scattering problem for local perturbations of the free quantum gas. (English) Zbl 0935.35111 Commun. Math. Phys. 203, No. 2, 421-444 (1999). Reviewer: V.Burjan (Praha) MSC: 35P25 81Q10 81Q15 PDFBibTeX XMLCite \textit{Yu. G. Kondratiev} et al., Commun. Math. Phys. 203, No. 2, 421--444 (1999; Zbl 0935.35111) Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri Suppression of critical fluctuations by strong quantum effects in quantum lattice systems. (English) Zbl 0930.60088 Commun. Math. Phys. 194, No. 3, 493-512 (1998). Reviewer: Rolando Rebolledo Berroe (Santiago de Chile) MSC: 60K35 81T25 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 194, No. 3, 493--512 (1998; Zbl 0930.60088) Full Text: DOI
Albeverio, S.; Kondratiev, Yu. G.; Kozitsky, Yu. V. Absence of critical points for a class of quantum hierarchical models. (English) Zbl 0878.46046 Commun. Math. Phys. 187, No. 1, 1-18 (1997). MSC: 46L60 81T10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 187, No. 1, 1--18 (1997; Zbl 0878.46046) Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael; Tsikalenko, Tatiana V. Uniqueness of Gibbs states on loop lattices. (English. Abridged French version) Zbl 0883.60093 C. R. Acad. Sci., Paris, Sér. I 324, No. 12, 1401-1406 (1997). MSC: 60K35 60H30 81V99 31C25 PDFBibTeX XMLCite \textit{S. Albeverio} et al., C. R. Acad. Sci., Paris, Sér. I 324, No. 12, 1401--1406 (1997; Zbl 0883.60093) Full Text: DOI
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.; Tsikalenko, T. V. Uniqueness of Gibbs states for quantum lattice systems. (English) Zbl 0883.60094 Probab. Theory Relat. Fields 108, No. 2, 193-218 (1997). MSC: 60K35 60H30 31C25 82B31 81V99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Probab. Theory Relat. Fields 108, No. 2, 193--218 (1997; Zbl 0883.60094) Full Text: DOI
Berezanskij, Yu. M.; Kondratiev, Yu. G. Spectral methods in infinite-dimensional analysis. Vol. 1, 2. (English) Zbl 0832.47001 Mathematical Physics and Applied Mathematics. 12. Dordrecht: Kluwer Academic Publishers. xvii, 572 p. 427 p. (1995). Reviewer: N.Jacob (München) MSC: 47-02 46F25 47A70 81T10 35D99 35J99 46-02 PDFBibTeX XMLCite \textit{Yu. M. Berezanskij} and \textit{Yu. G. Kondratiev}, Spectral methods in infinite-dimensional analysis. Vol. 1, 2. Dordrecht: Kluwer Academic Publishers (1995; Zbl 0832.47001)
Albeverio, S.; Kondratiev, Yu. G.; Tsikalenko, T. V. Stochastic dynamics for quantum lattice systems and stochastic quantization. I: Ergodicity. (English) Zbl 0842.60094 Random Oper. Stoch. Equ. 2, No. 2, 103-139 (1994). MSC: 60K40 81S20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Random Oper. Stoch. Equ. 2, No. 2, 103--139 (1994; Zbl 0842.60094) Full Text: DOI
Kondrat’ev, Yu. G.; Sokol, T. A. Gaussian measures and stochastic quantification. (English) Zbl 0819.60003 Sel. Math. 13, No. 3, 225-238 (1994). Reviewer: V.Burjan (Praha) MSC: 60B05 81S20 60K35 60K40 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev} and \textit{T. A. Sokol}, Sel. Math. 13, No. 3, 225--238 (1994; Zbl 0819.60003)
Kondrat’ev, Yu. G.; Konstantinov, A. Yu. The scattering problem for special perturbed harmonic systems. (English) Zbl 0811.34071 Sel. Math. 13, No. 3, 217-224 (1994). Reviewer: L.-I.Anita (Iaşi) MSC: 34L40 81U10 35Q53 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev} and \textit{A. Yu. Konstantinov}, Sel. Math. 13, No. 3, 217--224 (1994; Zbl 0811.34071)
Kondrat’ev, Yu. G.; Tsykalenko, T. V. Infinite-dimensional Dirichlet operators. I: Essential selfadjointness and associated elliptic equations. (English) Zbl 0812.31003 Potential Anal. 2, No. 1, 1-21 (1993). MSC: 31C25 60J60 35J99 60G30 35R15 81Q10 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev} and \textit{T. V. Tsykalenko}, Potential Anal. 2, No. 1, 1--21 (1993; Zbl 0812.31003) Full Text: DOI
Kondrat’ev, Yu. G.; Tsykalenko, T. V. Dirichlet operators and associated differential equations. (English. Russian original) Zbl 0755.35144 Sel. Math. Sov. 10, No. 4, 345-397 (1991); translation from Prepr., Inst. Mat. Akad. Nauk. Ukr. SSR, Kiev 37 (1986). Reviewer: C.Constanda (Glasgow) MSC: 35R15 47D03 81T08 82B10 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev} and \textit{T. V. Tsykalenko}, Sel. Math. Sov. 10, No. 4, 345--397 (1991; Zbl 0755.35144); translation from Prepr., Inst. Mat. Akad. Nauk. Ukr. SSR, Kiev 37 (1986)
Globa, S. A.; Kondrat’ev, Yu. G. The construction of Gibbs states of quantum lattice systems. (English. Russian original) Zbl 0705.60102 Sel. Math. Sov. 9, No. 3, 297-307 (1990); translation from Application of functional analytic methods to problems of mathematical physics, Collect. sci. Works, Kiev 1987, 4-16 (1987). MSC: 60K35 81Q99 PDFBibTeX XMLCite \textit{S. A. Globa} and \textit{Yu. G. Kondrat'ev}, Sel. Math. Sov. 9, No. 3, 297--307 (1990; Zbl 0705.60102); translation from Application of functional analytic methods to problems of mathematical physics, Collect. sci. Works, Kiev 1987, 4--16 (1987)
Kondrat’ev, Yu. G.; Sokol, T. A. Gaussian measures and stochastic quantization. (Russian) Zbl 0716.60121 Application of methods of functional analysis to mathematical physics, Collect. Sci. Works, Kiev, 31-53 (1989). Reviewer: A.S.Holevo MSC: 60K35 81S20 60G60 PDFBibTeX XML
Berezanskij, Yu. M.; Kondrat’ev, Yu. G. Spectral methods in infinite dimensional analysis. Ed. by M. L. Gorbachuk. (Spektral’nye metody v beskonechnomernom analize.) (Russian) Zbl 0707.47001 Institut Matematiki AN USSR, Kiev (USSR). Kiev: Naukova Dumka. 680 p. R. 9.60 (1988). Reviewer: J.Wloka MSC: 47-02 47A70 47F05 47A20 46F25 81T70 PDFBibTeX XMLCite \textit{Yu. M. Berezanskij} and \textit{Yu. G. Kondrat'ev}, Spektral'nye metody v beskonechnomernom analize (Russian). Ed. by M. L. Gorbachuk. Kiev: Naukova Dumka (1988; Zbl 0707.47001)
Globa, S. A.; Kondrat’ev, Yu. G. Construction of the Gibbs states of quantum lattice systems. (Russian) Zbl 0646.60109 Application of functional analytic methods to problems of mathematical physics, Collect. sci. Works, Kiev 1987, 4-16 (1987). MSC: 60K35 81P20 PDFBibTeX XML
Kondrat’ev, Yu. G. Dirichlet operators and smoothness of the solutions of infinite- dimensional elliptic equations. (English. Russian original) Zbl 0622.47050 Sov. Math., Dokl. 31, 461-464 (1985); translation from Dokl. Akad. Nauk SSSR 282, 269-273 (1985). Reviewer: J.Brüning MSC: 47F05 47B25 47A70 35R15 81Q10 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev}, Sov. Math., Dokl. 31, 461--464 (1985; Zbl 0622.47050); translation from Dokl. Akad. Nauk SSSR 282, 269--273 (1985)
Kondrat’ev, Yu. G. Kato’s inequality for operators of second quantization. (English. Russian original) Zbl 0566.46042 Ukr. Math. J. 35, 656-659 (1983); translation from Ukr. Mat. Zh. 35, No. 6, 753-756 (1983). Reviewer: B.Nagy MSC: 46N99 46F10 81Q10 35J15 47B25 47B60 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev}, Ukr. Math. J. 35, 656--659 (1983; Zbl 0566.46042); translation from Ukr. Mat. Zh. 35, No. 6, 753--756 (1983) Full Text: DOI
Kondrat’ev, Yu. G. Perturbations of second quantization operators. (English. Russian original) Zbl 0513.47010 Funct. Anal. Appl. 16, 307-309 (1983); translation from Funkts. Anal. Prilozh. 16, No. 4, 76-77 (1982). MSC: 47A55 47D03 81Q15 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev}, Funct. Anal. Appl. 16, 307--309 (1983; Zbl 0513.47010); translation from Funkts. Anal. Prilozh. 16, No. 4, 76--77 (1982) Full Text: DOI
Kondrat’ev, Yu. G.; Koshmanenko, V. D. The scattering problem for operators associated with Dirichlet forms. (English. Russian original) Zbl 0524.47007 Sov. Math., Dokl. 26, 585-589 (1982); translation from Dokl. Akad. Nauk SSSR 267, 285-288 (1982). MSC: 47A40 81U99 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev} and \textit{V. D. Koshmanenko}, Sov. Math., Dokl. 26, 585--589 (1982; Zbl 0524.47007); translation from Dokl. Akad. Nauk SSSR 267, 285--288 (1982)
Kondrat’ev, Yu. G. Nuclear spaces of entire functions in problems of infinite-dimensional analysis. (English. Russian original) Zbl 0474.46033 Sov. Math., Dokl. 22, 588-592 (1980); translation from Dokl. Akad. Nauk SSSR 254, 1325-1329 (1980). MSC: 46F25 28C20 46A13 46A11 81T08 43A35 47A70 30D15 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev}, Sov. Math., Dokl. 22, 588--592 (1980; Zbl 0474.46033); translation from Dokl. Akad. Nauk SSSR 254, 1325--1329 (1980)
Kondrat’ev, Yu. G.; Samojlenko, Yu. S. Particle number operators and smoothness of functions of an infinite number of variables. (Russian) Zbl 0439.46033 Spectral theory of operators, Pap. 2nd All-Union math. Summer Sch., Baku 1975, 103-114 (1979). MSC: 46F25 46F05 81T05 PDFBibTeX XML
Kondrat’ev, Yu. G.; Samoylenko, Yu. S. The spaces of trial and generalized functions of infinite number of variables. (English) Zbl 0421.46035 Rep. Math. Phys. 14, 325-350 (1978). MSC: 46F25 28C15 28C20 81T05 PDFBibTeX XMLCite \textit{Yu. G. Kondrat'ev} and \textit{Yu. S. Samoylenko}, Rep. Math. Phys. 14, 325--350 (1978; Zbl 0421.46035) Full Text: DOI