Savin, Anton; Sternin, Boris Introduction to complex theory of differential equations. (English) Zbl 1384.58002 Frontiers in Mathematics. Basel: Birkhäuser/Springer (ISBN 978-3-319-51743-8/pbk; 978-3-319-51744-5/ebook). x, 138 p. (2017). Reviewer: Daniel Barlet (Vandœuvre-les-Nancy) MSC: 58-02 58J32 58J37 58J47 58Z05 35A20 32-02 32W50 35R01 PDFBibTeX XMLCite \textit{A. Savin} and \textit{B. Sternin}, Introduction to complex theory of differential equations. Basel: Birkhäuser/Springer (2017; Zbl 1384.58002) Full Text: DOI
Savin, Anton; Sternin, Boris Differential equations on complex manifolds. (English) Zbl 1335.32029 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-18211-7/hbk; 978-3-319-18212-4/ebook). Trends in Mathematics, 273-292 (2015). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 32W50 58J32 35E99 PDFBibTeX XMLCite \textit{A. Savin} and \textit{B. Sternin}, in: Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 -- July 5, 2014. Cham: Birkhäuser/Springer. 273--292 (2015; Zbl 1335.32029) Full Text: DOI
Sternin, B. Yu.; Shatalov, V. E. Analytic continuation of fundamental solutions of elliptic equations. (English. Russian original) Zbl 0929.35034 Differ. Equations 33, No. 8, 1130-1140 (1997); translation from Differ. Uravn. 33, No. 8, 1123-1133 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 35J30 35A08 47F05 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Differ. Equations 33, No. 8, 1130--1140 (1997; Zbl 0929.35034); translation from Differ. Uravn. 33, No. 8, 1123--1133 (1997)
Sternin, B. Yu.; Shatalov, V. E. Analytic continuation of solutions of integral equations and localization of singularities. (English. Russian original) Zbl 0897.45001 Differ. Equations 32, No. 11, 1541-1549 (1996); translation from Differ. Uravn. 32, No. 11, 1544-1553 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 45B05 30E20 30B40 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Differ. Equations 32, No. 11, 1 (1996; Zbl 0897.45001); translation from Differ. Uravn. 32, No. 11, 1544--1553 (1996)
Sternin, B. Yu.; Shapiro, H. S.; Shatalov, V. E. The Schwarz potential and singularities of solutions to the branching Cauchy problem. (English. Russian original) Zbl 0881.31006 Dokl. Math. 51, No. 2, 215-217 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 3, 307-309 (1995). Reviewer: A.F.Grishin (Khar’kov) MSC: 31B15 35J30 PDFBibTeX XMLCite \textit{B. Yu. Sternin} et al., Dokl. Math. 51, No. 2, 215--217 (1995; Zbl 0881.31006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 3, 307--309 (1995)
Sternin, B. Yu.; Shatalov, V. E. On a new integral representation of ramified analytic functions. (English. Russian original) Zbl 0844.32006 Russ. Acad. Sci., Izv., Math. 44, No. 3, 645-658 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 3, 211-224 (1994). Reviewer: H.P.Boas (College Station) MSC: 32A25 32C30 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Russ. Acad. Sci., Izv., Math. 44, No. 3, 1 (1994; Zbl 0844.32006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 3, 211--224 (1994) Full Text: DOI
Sternin, Boris; Shatalov, Victor Differential equations on complex manifolds. (English) Zbl 0818.35003 Mathematics and its Applications (Dordrecht). 276. Dordrecht: Kluwer Academic Publishers. xii, 504 p. (1994). Reviewer: J.Vaillant (Paris) MSC: 35-02 35A22 35A20 35J45 35L25 PDFBibTeX XMLCite \textit{B. Sternin} and \textit{V. Shatalov}, Differential equations on complex manifolds. Dordrecht: Kluwer Academic Publishers (1994; Zbl 0818.35003)
Sternin, B. Yu.; Shatalov, V. E. On “balayage inwards” of charges in \(\mathbb{R}^ n\). (English. Russian original) Zbl 0836.31005 Math. Notes 54, No. 6, 1246-1260 (1993); translation from Mat. Zametki 54, No. 6, 90-112 (1993). Reviewer: M.Dont (Praha) MSC: 31B15 35J05 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Math. Notes 54, No. 6, 1 (1993; Zbl 0836.31005); translation from Mat. Zametki 54, No. 6, 90--112 (1993) Full Text: DOI
Sternin, B. Yu.; Shatalov, V. E. A ramified Cauchy problem for operators having Hamiltonian rest points. (English. Russian original) Zbl 0823.58034 Russ. Acad. Sci., Dokl., Math. 47, No. 3, 468-473 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 3, 294-297 (1993). MSC: 58J47 32S35 32S60 35A20 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Russ. Acad. Sci., Dokl., Math. 47, No. 3, 1 (1993; Zbl 0823.58034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 3, 294--297 (1993)
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)
Sternin, B. Yu.; Shatalov, V. E. On an integral transform of complex-analytic functions. (English. Russian original) Zbl 0806.35004 Proc. Steklov Inst. Math. 193, 193-196 (1993); translation from Tr. Mat. Inst. Steklova 193, 174-177 (1992). Reviewer: J.Fuka (Praha) MSC: 35A22 32A25 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, in: Topology and its applications. Proceedings of the International topology conference (Baku, October 3-8, 1987). Providence, RI: American Mathematical Society. 1 (1992; Zbl 0806.35004); translation from Tr. Mat. Inst. Steklova 193, 174--177 (1992)
Sternin, B. Yu.; Shatalov, V. E. On the Cauchy problem for differential equations in spaces of resurgent functions. (English. Russian original) Zbl 0804.35019 Russ. Acad. Sci., Izv., Math. 40, No. 1, 67-94 (1993); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 1, 75-104 (1992). MSC: 35C20 35G25 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Russ. Acad. Sci., Izv., Math. 40, No. 1, 67--94 (1992; Zbl 0804.35019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 1, 75--104 (1992) Full Text: DOI
Sternin, B. Yu.; Shatalov, V. E. On the global solvability of the Cauchy problem in spaces of ramified analytic functions. (English. Russian original) Zbl 0806.35002 Sov. Math., Dokl. 44, No. 3, 836-838 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 5, 910-913 (1991). Reviewer: J.Fuka (Praha) MSC: 35A08 35C15 58J47 32C30 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Sov. Math., Dokl. 44, No. 3, 1 (1991; Zbl 0806.35002); translation from Dokl. Akad. Nauk SSSR 321, No. 5, 910--913 (1991)
Korovina, M. V.; Sternin, B. Yu.; Shatalov, V. E. Asymptotic expansions “in the large” of solutions of the complex Cauchy problem with singular initial data. (English. Russian original) Zbl 0798.58076 Sov. Math., Dokl. 44, No. 3, 674-677 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 2, 250-253 (1991). Reviewer: N.Jacob (Erlangen) MSC: 58J47 58J37 35G10 PDFBibTeX XMLCite \textit{M. V. Korovina} et al., Sov. Math., Dokl. 44, No. 3, 1 (1991; Zbl 0798.58076); translation from Dokl. Akad. Nauk SSSR 321, No. 2, 250--253 (1991)
Sternin, B. Yu.; Shatalov, V. E. On the notion of elementary solution in the complex theory of differential equations. (English. Russian original) Zbl 0789.35005 Sov. Math., Dokl. 44, No. 2, 567-571 (1992); translation from Dokl. Akad. Nauk SSSR 320, No. 4, 825-829 (1991). MSC: 35A08 35S35 32S40 32G99 35C20 35E15 35A20 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Sov. Math., Dokl. 44, No. 2, 567--571 (1991; Zbl 0789.35005); translation from Dokl. Akad. Nauk SSSR 320, No. 4, 825--829 (1991)
Sternin, B. Yu.; Shatalov, V. E. On a new class of integral representations in complex analysis. (English. Russian original) Zbl 0705.32001 Sov. Math., Dokl. 40, No. 3, 513-516 (1990); translation from Dokl. Akad. Nauk SSSR 309, No. 2, 282-285 (1990). Reviewer: P.Bojadzhiev MSC: 32A25 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Sov. Math., Dokl. 40, No. 3, 513--516 (1990; Zbl 0705.32001); translation from Dokl. Akad. Nauk SSSR 309, No. 2, 282--285 (1990)
Sternin, B. Yu.; Shatalov, V. E. Differential equations on complex-analytic manifolds, and the Maslov canonical operator. (English. Russian original) Zbl 0699.35031 Russ. Math. Surv. 43, No. 3, 117-148 (1988); translation from Usp. Mat. Nauk 43, No. 3(261), 99-124 (1988). MSC: 35C20 35A20 35S10 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Russ. Math. Surv. 43, No. 3, 117--148 (1988; Zbl 0699.35031); translation from Usp. Mat. Nauk 43, No. 3(261), 99--124 (1988) Full Text: DOI
Sternin, B. Yu.; Shatalov, V. E. On an integral representation and the associated transform of analytic functions of several complex variables. (English. Russian original) Zbl 0688.32006 Sov. Math., Dokl. 37, No. 1, 38-41 (1988); translation from Dokl. Akad. Nauk SSSR 298, No. 1, 44-48 (1988). Reviewer: K.Spallek MSC: 32A25 44A10 42B10 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Sov. Math., Dokl. 37, No. 1, 38--41 (1988; Zbl 0688.32006); translation from Dokl. Akad. Nauk SSSR 298, No. 1, 44--48 (1988)
Sternin, B. Yu.; Shatalov, V. E. The Laplace-Radon integral transform and its application to an inhomogeneous Cauchy problem in a complex space. (English. Russian original) Zbl 0666.44004 Differ. Equations 24, No. 1, 131-137 (1988); translation from Differ. Uravn. 24, No. 1, 167-174 (1988). Reviewer: J.Souček MSC: 44A15 44A10 34A25 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Differ. Equations 24, No. 1, 131--137 (1988; Zbl 0666.44004); translation from Differ. Uravn. 24, No. 1, 167--174 (1988)
Sternin, B. Yu.; Shatalov, V. E. Singularities of solutions of differential equations on complex manifolds (characteristic case). (English. Russian original) Zbl 0664.58039 Global analysis - studies and applications III, Lect. Notes Math. 1334, 269-293 (1988); translation from Geometriya i Teoriya Osobennostej v Nelinejnykh Uravneniyakh, Nov. Global’nom Anal. 1987, 95-117 (1987). MSC: 58J47 32Q99 32Sxx PDFBibTeX XML
Sternin, B. Yu.; Shatalov, V. E. Differential equations on complex-analytic manifolds and the canonical Maslov operator. (Russian) Zbl 0663.35007 Usp. Mat. Nauk 43, No. 3(261), 99-124 (1988). Reviewer: J.Chrastina MSC: 35C20 35A20 35S10 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Usp. Mat. Nauk 43, No. 3(261), 99--124 (1988; Zbl 0663.35007)
Sternin, B. Yu.; Shatalov, V. E. Singularities of solutions of differential equations on complex manifolds (the characteristic case). (Russian) Zbl 0644.58021 Geometriya i Teoriya Osobennostej v Nelinejnykh Uravneniyakh, Nov. Global’nom Anal. 1987, 95-117 (1987). Reviewer: Yu.E.Gliklikh MSC: 58J47 32Q99 32Sxx PDFBibTeX XML
Sternin, B. Yu.; Shatalov, V. E. On an integral transform of complex analytic functions. (English. Russian original) Zbl 0634.44002 Math. USSR, Izv. 29, 407-427 (1987); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 50, No. 5, 1054-1076 (1986). Reviewer: Vasile Brînzănescu MSC: 44A15 35A22 35C15 58J40 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Math. USSR, Izv. 29, 407--427 (1987; Zbl 0634.44002); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 50, No. 5, 1054--1076 (1986) Full Text: DOI
Sternin, B. Yu.; Shatalov, V. E. On an integral transformation of complex analytic functions. (English. Russian original) Zbl 0597.35003 Sov. Math., Dokl. 31, 125-127 (1985); translation from Dokl. Akad. Nauk SSSR 280, 553-556 (1985). Reviewer: P.Szeptycki MSC: 35A22 35F15 32S45 44A05 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Sov. Math., Dokl. 31, 125--127 (1985; Zbl 0597.35003); translation from Dokl. Akad. Nauk SSSR 280, 553--556 (1985)
Sternin, B. Yu.; Shatalov, V. E. Characteristic Cauchy problem on a complex-analytic manifold. (English) Zbl 0602.32007 Global analysis - studies and applications I, Lect. Notes Math. 1108, 54-76 (1984). MSC: 32F99 32Q99 PDFBibTeX XML
Sternin, B. Yu.; Shatalov, V. E. The characteristic Cauchy problem on a complex-analytic manifold. (Russian) Zbl 0552.32007 Nov. Global’nom Anal. 1982, 83-104 (1982). Reviewer: M.Čanak MSC: 32Q99 32F99 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Nov. Global'nom Anal. 1982, 83--104 (1982; Zbl 0552.32007)
Sternin, B. Yu.; Shatalov, V. E. Legendre uniformization of multi-valued analytic functions. (English) Zbl 0517.35004 Math. USSR, Sb. 41, 217-234 (1982). MSC: 35A10 32A25 42B10 35B65 35B60 35C15 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Math. USSR, Sb. 41, 217--234 (1982; Zbl 0517.35004) Full Text: DOI
Sternin, B. Yu.; Shatalov, V. E. Legendre uniformization of many-valued analytic functions. (Russian) Zbl 0498.35005 Mat. Sb., N. Ser. 113(155), 263-284 (1980). MSC: 35A22 32A10 42B10 35A20 PDFBibTeX XMLCite \textit{B. Yu. Sternin} and \textit{V. E. Shatalov}, Mat. Sb., Nov. Ser. 113(155), 263--284 (1980; Zbl 0498.35005) Full Text: EuDML
Mishchenko, A. S.; Sternin, B. Yu.; Shatalov, V. E. Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space. (English) Zbl 0437.58007 J. Sov. Math. 13, 1-23 (1980). MSC: 37J99 53D50 35S10 58J40 70H99 PDFBibTeX XMLCite \textit{A. S. Mishchenko} et al., J. Sov. Math. 13, 1--23 (1980; Zbl 0437.58007) Full Text: DOI
Mishchenko, A. S.; Sternin, B. Yu.; Shatalov, V. E. Geometrie Lagrangescher Mannigfaltigkeiten und der kanonische Maslovoperator im komplexen Phasenraum. (Russian) Zbl 0425.58010 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 8, 5-39 (1977). MSC: 37J99 53D50 35S10 58J40 70H99 PDFBibTeX XML