Nazaikinskii, V. E. On an elliptic operator degenerating on the boundary. (English. Russian original) Zbl 1525.47076 Funct. Anal. Appl. 56, No. 4, 324-326 (2022); translation from Funkts. Anal. Prilozh. 56, No 4, 109-112 (2022). MSC: 47F10 35L05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Funct. Anal. Appl. 56, No. 4, 324--326 (2022; Zbl 1525.47076); translation from Funkts. Anal. Prilozh. 56, No 4, 109--112 (2022) Full Text: DOI
Baldare, A.; Nazaikinskii, V. E.; Savin, A. Yu.; Schrohe, E. \(C^*\)-algebras of transmission problems and elliptic boundary value problems with shift operators. (English. Russian original) Zbl 1493.58009 Math. Notes 111, No. 5, 701-721 (2022); translation from Mat. Zametki 111, No. 5, 692-716 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J32 47L80 35S05 47G30 35J99 PDFBibTeX XMLCite \textit{A. Baldare} et al., Math. Notes 111, No. 5, 701--721 (2022; Zbl 1493.58009); translation from Mat. Zametki 111, No. 5, 692--716 (2022) Full Text: DOI
Nazaikinskii, V. E.; Shafarevich, A. I. Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1407.35028 Dokl. Math. 97, No. 2, 177-180 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 611-615 (2018). MSC: 35B40 53D20 47F05 53D12 35A18 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. I. Shafarevich}, Dokl. Math. 97, No. 2, 177--180 (2018; Zbl 1407.35028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 611--615 (2018) 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, 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 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.; 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
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, 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
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)
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)
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)
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
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Asymptotics for equations with singularities in the characteristics. I. (Russian) Zbl 0484.35009 Izv. Akad. Nauk SSSR, Ser. Mat. 45, 1049-1087 (1981). MSC: 35A30 35B40 47J05 70H15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, Izv. Akad. Nauk SSSR, Ser. Mat. 45, 1049--1087 (1981; Zbl 0484.35009)
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. (English. Russian original) Zbl 0482.58028 J. Sov. Math. 15, 167-273 (1981); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 5-144 (1979). MSC: 58J40 35B40 47A60 35S05 81Q10 81S05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, J. Sov. Math. 15, 167--273 (1979; Zbl 0482.58028); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 5--144 (1979) Full Text: DOI
Karasev, M. V.; Nazaĭkinskiĭ, V. E. On the quantization of rapidly oscillating symbols. (English) Zbl 0417.47025 Math. USSR, Sb. 34, 737-764 (1978). MSC: 47G10 47A60 35S10 81T05 PDFBibTeX XMLCite \textit{M. V. Karasev} and \textit{V. E. Nazaĭkinskiĭ}, Math. USSR, Sb. 34, 737--764 (1978; Zbl 0417.47025) Full Text: DOI
Karasev, M. V.; Nazaikinskii, V. E. On the quantization of rapidly oscillating symbols. (Russian) Zbl 0391.47036 Mat. Sb., N. Ser. 106(148), 183-213 (1978). MSC: 58J40 47G10 PDFBibTeX XMLCite \textit{M. V. Karasev} and \textit{V. E. Nazaikinskii}, Mat. Sb., Nov. Ser. 106(148), 183--213 (1978; Zbl 0391.47036)