Nazaikinskii, V. E. Relative index theorem in \(K\)-homology. (English. Russian original) Zbl 1337.46048 Funct. Anal. Appl. 49, No. 4, 311-314 (2015); translation from Funkts. Anal. Prilozh. 49, No. 4, 85-90 (2015). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 46L85 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Funct. Anal. Appl. 49, No. 4, 311--314 (2015; Zbl 1337.46048); translation from Funkts. Anal. Prilozh. 49, No. 4, 85--90 (2015) Full Text: DOI arXiv
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. 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. 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 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. 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, 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
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)