Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris The localization problem in index theory of elliptic operators. (English) Zbl 1297.58001 Pseudo-Differential Operators. Theory and Applications 10. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0509-4/pbk; 978-3-0348-0510-0/ebook). viii, 117 p. (2014). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 58-02 46L80 58J22 PDFBibTeX XMLCite \textit{V. Nazaikinskii} et al., The localization problem in index theory of elliptic operators. Basel: Birkhäuser/Springer (2014; Zbl 1297.58001) Full Text: DOI Link
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the Poincaré isomorphism in \(K\)-theory on manifolds with edges. (English. Russian original) Zbl 1305.19003 J. Math. Sci., New York 170, No. 2, 238-250 (2010); translation from Sovrem. Mat., Fundam. Napravl. 34, 109-120 (2009). Reviewer: Boris Goldfarb (Albany) MSC: 19K56 58J20 19K33 58J32 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., J. Math. Sci., New York 170, No. 2, 238--250 (2010; Zbl 1305.19003); translation from Sovrem. Mat., Fundam. Napravl. 34, 109--120 (2009) Full Text: DOI arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Atiyah-Bott index on stratified manifolds. (English. Russian original) Zbl 1301.58013 J. Math. Sci., New York 170, No. 2, 229-237 (2010); translation from Sovrem. Mat., Fundam. Napravl. 34, 100-108 (2009). MSC: 58J40 58J20 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., J. Math. Sci., New York 170, No. 2, 229--237 (2010; Zbl 1301.58013); translation from Sovrem. Mat., Fundam. Napravl. 34, 100--108 (2009) Full Text: DOI arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Noncommutative geometry and classification of elliptic operators. (English. Russian original) Zbl 1301.58015 J. Math. Sci., New York 164, No. 4, 603-636 (2010); translation from Sovrem. Mat., Fundam. Napravl. 29, 131-164 (2008). MSC: 58J42 19K56 46L80 58J40 46L89 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., J. Math. Sci., New York 164, No. 4, 603--636 (2010; Zbl 1301.58015); translation from Sovrem. Mat., Fundam. Napravl. 29, 131--164 (2008) Full Text: DOI
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the index of nonlocal elliptic operators. (English. Russian original) Zbl 1160.58010 Dokl. Math. 77, No. 3, 441-445 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 5, 592-597 (2008). Reviewer: Petru A. Cojuhari (Kraków) MSC: 58J20 35S05 46L05 47G30 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 77, No. 3, 441--445 (2008; Zbl 1160.58010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 5, 592--597 (2008) Full Text: DOI
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. (English) Zbl 1205.58018 Burghelea, Dan (ed.) et al., \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser (ISBN 978-3-7643-8603-0/hbk). Trends in Mathematics, 207-226 (2008). MSC: 58J40 58J05 19K33 35S35 PDFBibTeX XMLCite \textit{V. Nazaikinskii} et al., in: \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser. 207--226 (2008; Zbl 1205.58018) Full Text: arXiv
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. (English) Zbl 1205.58017 Burghelea, Dan (ed.) et al., \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser (ISBN 978-3-7643-8603-0/hbk). Trends in Mathematics, 183-206 (2008). MSC: 58J40 58J05 47L15 35S35 46L05 PDFBibTeX XMLCite \textit{V. Nazaikinskii} et al., in: \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser. 183--206 (2008; Zbl 1205.58017) Full Text: arXiv
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu. Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. (English) Zbl 1158.58013 Operator Theory: Advances and Applications 183. Advances in Partial Differential Equations. Basel: Birkhäuser (ISBN 978-3-7643-8774-7/hbk). xii, 224 p. (2008). Reviewer: Constantin Corduneanu (Arlington) MSC: 58J42 46L80 58J22 46-02 58J05 58-02 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Basel: Birkhäuser (2008; Zbl 1158.58013)
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the homotopy classification of elliptic operators on manifolds with corners. (English. Russian original) Zbl 1156.58011 Dokl. Math. 75, No. 2, 186-189 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 16-19 (2007). MSC: 58J40 58J05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Dokl. Math. 75, No. 2, 186--189 (2007; Zbl 1156.58011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 16--19 (2007) Full Text: DOI
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Pseudodifferential operators on stratified manifolds. II. (English. Russian original) Zbl 1140.58008 Differ. Equ. 43, No. 5, 704-716 (2007); translation from Differ. Uravn. 43, No. 5, 685-696 (2007). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J40 47G30 35S35 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Differ. Equ. 43, No. 5, 704--716 (2007; Zbl 1140.58008); translation from Differ. Uravn. 43, No. 5, 685--696 (2007) Full Text: DOI arXiv
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu Homotopy classification of elliptic operators on stratified manifolds. (English. Russian original) Zbl 1154.58013 Izv. Math. 71, No. 6, 1167-1192 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 6, 91-118 (2007). Reviewer: Haruo S. Suzuki (Sapporo) MSC: 58J40 46L80 19K56 19K33 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Izv. Math. 71, No. 6, 1167--1192 (2007; Zbl 1154.58013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 6, 91--118 (2007) Full Text: DOI arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Pseudodifferential operators on stratified manifolds. (English. Russian original) Zbl 1133.58023 Differ. Equ. 43, No. 4, 536-549 (2007); translation from Differ. Uravn. 43, No. 4, 519-532 (2007). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J40 35S35 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Differ. Equ. 43, No. 4, 536--549 (2007; Zbl 1133.58023); translation from Differ. Uravn. 43, No. 4, 519--532 (2007) Full Text: DOI
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. On elliptic differential operators with shifts: II. The cohomological index formula. arXiv:0707.3892 Preprint, arXiv:0707.3892 [math.OA] (2007). MSC: 46L80 19K56 58J40 BibTeX Cite \textit{V. E. Nazaikinskii} et al., ``On elliptic differential operators with shifts: II. The cohomological index formula'', Preprint, arXiv:0707.3892 [math.OA] (2007) Full Text: arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. On elliptic differential operators with shifts. arXiv:0706.3511 Preprint, arXiv:0706.3511 [math.OA] (2007). MSC: 46L80 19K56 58J40 BibTeX Cite \textit{V. E. Nazaikinskii} et al., ``On elliptic differential operators with shifts'', Preprint, arXiv:0706.3511 [math.OA] (2007) Full Text: arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Homotopy classification of elliptic operators on stratified manifolds. (English. Russian original) Zbl 1327.58025 Dokl. Math. 73, No. 3, 407-411 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 5, 591-595 (2006). MSC: 58J20 58J40 19K33 35S05 46L80 47F05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Dokl. Math. 73, No. 3, 407--411 (2006; Zbl 1327.58025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 5, 591--595 (2006) Full Text: DOI
Nazaikinskii, Vladimir; Sternin, Boris Lefschetz theory on manifolds with singularities. (English) Zbl 1118.58010 Bojarski, Bogdan (ed.) et al., \(C^*\)-algebras and elliptic theory. Basically formed by contributions from the international conference, Bȩdlewo, Poland, February 2004. In cooperation with Dan Burghelea, Richard Melrose and Victor Nistor. Basel: Birkhäuser (ISBN 3-7643-7686-4/hbk). Trends in Mathematics, 157-186 (2006). Reviewer: Akira Asada (Takarazuka) MSC: 58J10 58J40 58J20 32S50 PDFBibTeX XMLCite \textit{V. Nazaikinskii} and \textit{B. Sternin}, in: \(C^*\)-algebras and elliptic theory. Basically formed by contributions from the international conference, Bȩdlewo, Poland, February 2004. In cooperation with Dan Burghelea, Richard Melrose and Victor Nistor. Basel: Birkhäuser. 157--186 (2006; Zbl 1118.58010)
Nazaikinskii, V. E.; Sternin, B. Yu. Surgery and the relative index in elliptic theory. (English) Zbl 1133.58014 Abstr. Appl. Anal. 2006, Article ID 98081, 16 p. (2006). MSC: 58J20 35J45 47G30 58J30 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Abstr. Appl. Anal. 2006, Article ID 98081, 16 p. (2006; Zbl 1133.58014) Full Text: DOI EuDML
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu. Elliptic theory on singular manifolds. (English) Zbl 1084.58007 Differential and Integral Equations and Their Applications 7. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-520-3/hbk). xiv, 356 p. (2006). Reviewer: Paul Loya (Binghamton) MSC: 58J05 58-02 58J20 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Elliptic theory on singular manifolds. Boca Raton, FL: Chapman \& Hall/CRC (2006; Zbl 1084.58007)
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. Pseudodifferential operators on manifolds with singularities and localization. (English. Russian original) Zbl 1272.58012 Dokl. Math. 71, No. 3, 457-460 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 6, 743-747 (2005). MSC: 58J40 35S05 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 71, No. 3, 457--460 (2005; Zbl 1272.58012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 6, 743--747 (2005)
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu; Schulze, B.-W. On the index of elliptic operators on manifolds with edges. (English) Zbl 1138.58310 Sb. Math. 196, No. 9, 1271-1305 (2005); translation from Mat. Sb. 196, No. 9, 23-58 (2005). MSC: 58J20 47G30 47L80 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Sb. Math. 196, No. 9, 1271--1305 (2005; Zbl 1138.58310); translation from Mat. Sb. 196, No. 9, 23--58 (2005) Full Text: DOI arXiv
Nazaikinskii, Vladimir E.; Savin, Anton Yu.; Schulze, Bert-Wolfgang; Sternin, Boris Yu. The index problem on manifolds with edges. (English) Zbl 1115.58022 Fuchs, Jürgen (ed.) et al., Noncommutative geometry and representation theory in mathematical physics. Satellite conference to the fourth European congress of mathematics, July 5–10, 2004, Karlstad, Sweden. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3718-4/pbk). Contemporary Mathematics 391, 289-312 (2005). Reviewer: Yong Seung Cho (Seoul) MSC: 58J20 19K56 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Contemp. Math. 391, 289--312 (2005; Zbl 1115.58022)
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu. Guillemin transform and Toeplitz representations for operators on singular manifolds. (English) Zbl 1071.46039 Booß-Bavnbek, Bernhelm (ed.) et al., Spectral geometry of manifolds with boundary and decomposition of manifolds. Proceedings of the workshop, Roskilde, Denmark, August 6–9, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3536-X/pbk). Contemporary Mathematics 366, 281-306 (2005). MSC: 46L87 46L80 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Contemp. Math. 366, 281--306 (2005; Zbl 1071.46039) Full Text: arXiv
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. On the index of differential operators on manifolds with edges. (English. Russian original) Zbl 1125.58303 Dokl. Math. 69, No. 1, 68-71 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 3, 309-312 (2004). MSC: 58J22 35J30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 69, No. 1, 68--71 (2004; Zbl 1125.58303); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 3, 309--312 (2004)
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the definition of pseudodifferential operators on manifolds with singularities. (English. Russian original) Zbl 1125.58305 Dokl. Math. 69, No. 1, 41-44 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 2, 162-165 (2004). MSC: 58J40 35S05 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 69, No. 1, 41--44 (2004; Zbl 1125.58305); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 2, 162--165 (2004)
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. On the existence of elliptic problems on manifolds with edges. (English) Zbl 1246.58020 Dokl. Math. 69, No. 2, 231-234 (2004) and Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 4, 455-458 (2004). MSC: 58J32 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 69, No. 2, 231--234 (2004; Zbl 1246.58020)
Nazaikinskii, Vladimir; Sternin, Boris Relative elliptic theory. (English) Zbl 1090.58016 Gil, Juan (ed.) et al., Aspects of boundary problems in analysis and geometry. Basel: Birkhäuser (ISBN 3-7643-7069-6/hbk). Operator Theory: Advances and Applications 151, 495-560 (2004). Reviewer: Otto Liess (Bologna) MSC: 58J05 58J20 58J40 PDFBibTeX XMLCite \textit{V. Nazaikinskii} and \textit{B. Sternin}, Oper. Theory: Adv. Appl. 151, 495--560 (2004; Zbl 1090.58016)
Nazaikinskii, V. E.; Sternin, B. Yu. Operator algebras on manifolds with isolated singularities. (English. Russian original) Zbl 1181.35358 Differ. Equ. 39, No. 1, 99-111 (2003); translation from Differ. Uravn. 39, No. 1, 92-104 (2003). MSC: 35S05 58J40 47L80 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Differ. Equ. 39, No. 1, 99--111 (2003; Zbl 1181.35358); translation from Differ. Uravn. 39, No. 1, 92--104 (2003) Full Text: DOI
Nazaikinskii, V. E.; Sternin, B. Yu. On the Green operator in relative elliptic theory. (English. Russian original) Zbl 1125.58302 Dokl. Math. 68, No. 1, 57-60 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 3, 306-309 (2003). MSC: 58J05 35S05 47F05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Dokl. Math. 68, No. 1, 57--60 (2003; Zbl 1125.58302); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 3, 306--309 (2003)
Nazaikinskii, V. E.; Sternin, B. Yu. A remark on surgery in index theory of elliptic operators. (English) Zbl 1039.35153 de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1378-7/hbk). Math. Phys. Stud. 24, 363-372 (2003). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35S30 35S05 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Math. Phys. Stud. 24, 363--372 (2003; Zbl 1039.35153)
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y. Quantization methods in differential equations. (English) Zbl 1079.81040 Differential and Integral Equations and Their Applications 3. London: Taylor & Francis (ISBN 0-415-27364-1). xii, 356 p. (2002). MSC: 58J40 58-02 35B40 35Q40 35Q60 47G30 81Q05 81Q20 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Quantization methods in differential equations. London: Taylor \& Francis (2002; Zbl 1079.81040)
Nazaikinskij, V. E.; Sternin, B. Yu. Algebras of pseudodifferential operators on manifolds with singularities. (English. Russian original) Zbl 1065.47045 Dokl. Math. 63, No. 3, 302-305 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 1, 14-17 (2001). Reviewer: Niels Jacob (Swansea) MSC: 47G30 35S99 47L80 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} and \textit{B. Yu. Sternin}, Dokl. Math. 63, No. 3, 14--17 (2001; Zbl 1065.47045); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 1, 14--17 (2001)
Nazaikinskij, V. E.; Schulze, B.-W.; Sternin, B. Yu. The index of Fourier integral operators on manifolds with conical singularities. (English. Russian original) Zbl 1004.58015 Izv. Math. 65, No. 2, 329-355 (2001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 2, 127-154 (2001). Reviewer: Yong Seung Cho (Seoul) MSC: 58J40 58J20 35S30 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., Izv. Math. 65, No. 2, 329--355 (2001; Zbl 1004.58015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 2, 127--154 (2001) Full Text: DOI
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu. The index locality principle in elliptic theory. (English. Russian original) Zbl 1001.58017 Funct. Anal. Appl. 35, No. 2, 111-123 (2001); translation from Funkts. Anal. Prilozh. 35, No. 2, 37-52 (2001). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 58J40 58J30 19K56 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} and \textit{B. Yu. Sternin}, Funct. Anal. Appl. 35, No. 2, 111--123 (2001; Zbl 1001.58017); translation from Funkts. Anal. Prilozh. 35, No. 2, 37--52 (2001) Full Text: DOI
Nazaikinskii, Vladimir; Sternin, Boris Surgery and the relative index in elliptic theory. (English) Zbl 1001.58016 Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24-28, 2000. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 126, 229-237 (2001). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 58J40 19K56 58J30 PDFBibTeX XMLCite \textit{V. Nazaikinskii} and \textit{B. Sternin}, in: Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24--28, 2000. Basel: Birkhäuser. 229--237 (2001; Zbl 1001.58016)
Nazaikinskiĭ, V. E.; Sternin, B. Yu. A remark on elliptic theory on manifolds with isolated singularities. (English. Russian original) Zbl 1052.58030 Dokl. Math. 62, No. 2, 257-261 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 5, 606-610 (2000). Reviewer: Maido Rahula (Tartu) MSC: 58J40 58J05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskiĭ} and \textit{B. Yu. Sternin}, Dokl. Math. 62, No. 2, 606--610 (2000; Zbl 1052.58030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 5, 606--610 (2000)
Nazaikinskij, V. E.; Sternin, B. Yu. Localization and surgery in the index theory of elliptic operators. (English. Russian original) Zbl 1054.58014 Dokl. Math. 61, No. 1, 13-16 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 1, 19-23 (2000). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J20 35J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} and \textit{B. Yu. Sternin}, Dokl. Math. 61, No. 1, 19--23 (2000; Zbl 1054.58014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 1, 19--23 (2000)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Schulze, B.-W. The index of quantized contact transformations on manifolds with conical singularities. (English. Russian original) Zbl 1072.58502 Dokl. Math. 60, No. 2, 243-245 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 5, 598-600 (1999). MSC: 58J20 35S30 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 60, No. 2, 598--600 (1999; Zbl 1072.58502); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 5, 598--600 (1999)
Nazaikinskij, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. Spectral boundary value problems and elliptic equations on manifolds with singularities. (English. Russian original) Zbl 0962.58008 Dokl. Math. 60, No. 1, 97-99 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 5, 597-599 (1999). MSC: 58J32 35J55 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., Dokl. Math. 60, No. 1, 597--599 (1999; Zbl 0962.58008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 5, 597--599 (1999)
Nazaikinskij, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. Quantization of canonical transformations on manifolds with conic singularities. (English. Russian original) Zbl 0971.53049 Dokl. Math. 60, No. 1, 73-76 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 447-450 (1999). MSC: 53D50 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., Dokl. Math. 60, No. 1, 447--450 (1999; Zbl 0971.53049); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 447--450 (1999)
Nazaikinskij, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. The Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singularities. (English. Russian original) Zbl 0962.58007 Dokl. Math. 60, No. 1, 54-57 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 3, 303-306 (1999). MSC: 58J20 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., Dokl. Math. 60, No. 1, 303--306 (1999; Zbl 0962.58007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 3, 303--306 (1999)
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. (English) Zbl 0981.58016 Ann. Global Anal. Geom. 17, No. 5, 409-439 (1999). MSC: 58J05 58J40 47A53 47G30 PDFBibTeX XMLCite \textit{V. Nazaikinskii} et al., Ann. Global Anal. Geom. 17, No. 5, 409--439 (1999; Zbl 0981.58016) Full Text: DOI
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. Spectral boundary value problems and elliptic equations on singular manifolds. (English. Russian original) Zbl 1040.58500 Differ. Equations 34, No. 5, 696-710 (1998); translation from Differ. Uravn. 34, No. 5, 695-708 (1998). MSC: 58J32 35P05 35S15 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Differ. Equations 34, No. 5, 696--710 (1998; Zbl 1040.58500); translation from Differ. Uravn. 34, No. 5, 695--708 (1998)
Nazaikinskij, Vladimir; Sternin, Boris Wave packet transform in symplectic geometry and asymptotic quantization. (English) Zbl 0915.58108 Komrakov, B. P. (ed.) et al., Lie groups and Lie algebras. Their representations, generalisations and applications. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 433, 47-69 (1998). Reviewer: Dmitry Kalinin (Kazan’) MSC: 58Z05 83C57 53B30 83C75 PDFBibTeX XMLCite \textit{V. Nazaikinskij} and \textit{B. Sternin}, Math. Appl., Dordr. 433, 47--69 (1998; Zbl 0915.58108)
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. Methods of noncommutative analysis: theory and applications. (English) Zbl 0876.47015 de Gruyter Studies in Mathematics. 22. Berlin: Walter de Gruyter. x, 373 p. (1995). Reviewer: A.Kondrat’ev (Pensacola) MSC: 47A60 47-02 35-02 47-XX 44-XX 81R50 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Methods of noncommutative analysis: theory and applications. Berlin: Walter de Gruyter (1995; Zbl 0876.47015)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E. Contact geometry and linear differential equations. (English. Russian original) Zbl 0826.58037 Russ. Math. Surv. 48, No. 3, 93-132 (1993); translation from Usp. Mat. Nauk 48, No. 3(291), 97-134 (1993). Reviewer: J.Eichhorn (Greifswald) MSC: 58J40 37J55 58J60 53C15 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Russ. Math. Surv. 48, No. 3, 1 (1993; Zbl 0826.58037); translation from Usp. Mat. Nauk 48, No. 3(291), 97--134 (1993) Full Text: DOI
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. Analytic singularities of solutions of differential equations. (English) Zbl 0792.58039 Kashiwara, Masaki (ed.) et al., D-modules and microlocal geometry. Proceedings of the international conference, held at the University of Lisbon, Portugal, Oct. 29-Nov. 2, 1990. Berlin: Walter de Gruyter. 187-198 (1993). Reviewer: A.V.Aminova (Kazan’) MSC: 58J47 32S40 35A07 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., in: D-modules and microlocal geometry. Proceedings of the international conference, held at the University of Lisbon, Portugal, Oct. 29-Nov. 2, 1990. Berlin: Walter de Gruyter. 187--198 (1993; Zbl 0792.58039)
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu. Contact geometry and linear differential equations. (English) Zbl 0813.58003 De Gruyter Expositions in Mathematics. 6. Berlin etc.: W. de Gruyter. ix, 216 p. (1992). Reviewer: W.Mozgawa (Lublin) MSC: 58-02 58J40 37J55 53D10 58C35 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Contact geometry and linear differential equations. Berlin etc.: W. de Gruyter (1992; Zbl 0813.58003)
Nazaikinskij, V. E.; Sternin, B. Yu.; Shatalov, V. E. Introduction to Maslov’s operational method (applications). (English) Zbl 0827.35006 Borisovich, Yu. G. (ed.), Problems of geometry, topology and mathematical physics. Voronezh: Izdatel’stvo Voronezhskogo Universiteta. Nov. Global’nom Anal. 51-64 (1992). MSC: 35A25 76X05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., in: Zadachi geometrii, topologii i matematicheskoj fiziki. Voronezh: Izdatel'stvo Voronezhskogo Universiteta. 51--64 (1992; Zbl 0827.35006)
Nazaikinskij, Vladimir; Sternin, Boris; Shatalov, Victor Maslov operational calculus and noncommutative analysis. (English) Zbl 0881.58066 Demuth, Michael (ed.) et al., Operator calculus and spectral theory. Proceedings of a symposium, held in Lambrecht, Germany, December 9-14, 1991. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 57, 225-243 (1992). MSC: 58J40 32S05 46N20 47A60 PDFBibTeX XMLCite \textit{V. Nazaikinskij} et al., in: Operator calculus and spectral theory. Proceedings of a symposium, held in Lambrecht, Germany, December 9-14, 1991. Basel: Birkhäuser Verlag. 225--243 (1992; Zbl 0881.58066)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E. On an application of the Maslov operator method to a diffraction problem. (English. Russian original) Zbl 0788.35024 Sov. Math., Dokl. 43, No. 2, 547-549 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 832-834 (1991). MSC: 35G10 78A45 78A05 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Sov. Math., Dokl. 43, No. 2, 547--549 (1991; Zbl 0788.35024); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 832--834 (1991)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E. Local solvability of differential equations in spaces of many-valued analytic functions. (English. Russian original) Zbl 0769.35002 Differ. Equations 27, No. 1, 82-91 (1991); translation from Differ. Uravn. 27, No. 1, 103-114 (1991). Reviewer: M.Biroli (Monza) MSC: 35A20 58C10 32Q99 58J47 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Differ. Equations 27, No. 1, 82--91 (1991; Zbl 0769.35002); translation from Differ. Uravn. 27, No. 1, 103--114 (1991)
Nazaikinskij, V. E.; Sternin, B. Yu.; Shatalov, V. E. Introduction to Maslov’s operational method (non-commutative analysis and differential equations). (English. Russian original) Zbl 0816.58037 Global analysis, studies and applications. V. Lect. Notes Math. 1520, 81-91 (1992); translation from Algebraicheskie voprosy analiza i topologii, Nov. Global. Anal. 1990, 52-60 (1990). Reviewer: G.E.Karadzhov (Los Angeles) MSC: 58J40 47G30 PDFBibTeX XML
Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E. Fourier integral operators and the canonical operator. (English. Russian original) Zbl 0507.58043 Russ. Math. Surv. 36, No. 2, 93-161 (1981); translation from Usp. Mat. Nauk 36, No. 2(218), 81-140 (1981). MSC: 58J40 47G10 35R20 35S30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Russ. Math. Surv. 36, No. 2, 93--161 (1981; Zbl 0507.58043); translation from Usp. Mat. Nauk 36, No. 2(218), 81--140 (1981) Full Text: DOI