Avila, Julio Cesar; Frías-Armenta, Martín Eduardo; López-González, Elifalet Generalized Cauchy-Riemann equations in non-identity bases with application to the algebrizability of vector fields. (English) Zbl 07762863 Forum Math. 35, No. 6, 1471-1483 (2023). MSC: 35A09 35F35 15A27 PDF BibTeX XML Cite \textit{J. C. Avila} et al., Forum Math. 35, No. 6, 1471--1483 (2023; Zbl 07762863) Full Text: DOI OA License
Tokibetov, J. A.; Abduakhitova, G. E.; Kaparova, R. M. On one representation of a generalized holomorphic vector via the derivatives of harmonic functions. (English. Ukrainian original) Zbl 1514.35154 J. Math. Sci., New York 272, No. 1, 29-37 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 29-35 (2020). MSC: 35J46 31A05 30G35 PDF BibTeX XML Cite \textit{J. A. Tokibetov} et al., J. Math. Sci., New York 272, No. 1, 29--37 (2023; Zbl 1514.35154); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 29--35 (2020) Full Text: DOI
Sattorov, E. N.; Ermamatova, F. E. Carleman’s formula for solutions of generalized Cauchy-Riemann systems in multidimensional spatial domains. (English. Russian original) Zbl 1498.35243 J. Math. Sci., New York 265, No. 1, 90-102 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 95-108 (2019). MSC: 35J56 30G20 PDF BibTeX XML Cite \textit{E. N. Sattorov} and \textit{F. E. Ermamatova}, J. Math. Sci., New York 265, No. 1, 90--102 (2022; Zbl 1498.35243); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 95--108 (2019) Full Text: DOI
Sattorov, É. N.; Érmamatova, F. É. On the recovery of solutions of a generalized Cauchy-Riemann system in a multidimensional spatial domain from their values on a piece of the boundary of this domain. (English. Russian original) Zbl 1480.30035 Math. Notes 110, No. 3, 393-408 (2021); translation from Mat. Zametki 110, No. 3, 405-423 (2021). MSC: 30G20 35F45 35N10 PDF BibTeX XML Cite \textit{É. N. Sattorov} and \textit{F. É. Érmamatova}, Math. Notes 110, No. 3, 393--408 (2021; Zbl 1480.30035); translation from Mat. Zametki 110, No. 3, 405--423 (2021) Full Text: DOI
Golanbar, J. E.; Aliyev, N.; Jahanshahi, M. Transportation of a BVP including generalized Cauchy-Riemann equation to Fredholm integral equation. (English) Zbl 1493.45001 TWMS J. Pure Appl. Math. 11, No. 1, 30-42 (2020). MSC: 45B05 35J56 35F15 65N80 PDF BibTeX XML Cite \textit{J. E. Golanbar} et al., TWMS J. Pure Appl. Math. 11, No. 1, 30--42 (2020; Zbl 1493.45001) Full Text: Link
Ku, Min; He, Fuli; He, Xiuli Riemann-Hilbert problems for null-solutions to iterated generalized Cauchy-Riemann equation on upper half ball. (English) Zbl 1462.35230 Complex Var. Elliptic Equ. 65, No. 11, 1902-1918 (2020). MSC: 35Q15 31B20 31B10 35J56 35J58 35B07 46S05 PDF BibTeX XML Cite \textit{M. Ku} et al., Complex Var. Elliptic Equ. 65, No. 11, 1902--1918 (2020; Zbl 1462.35230) Full Text: DOI
Rasulov, A. B.; Bobodzhanova, M. A.; Fedorov, Yu. S. Hilbert problem for the Cauchy-Riemann equation with a singular circle and a singular point. (English. Russian original) Zbl 1433.30116 J. Math. Sci., New York 241, No. 3, 327-339 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 79-90 (2017). MSC: 30G20 30E25 35J46 PDF BibTeX XML Cite \textit{A. B. Rasulov} et al., J. Math. Sci., New York 241, No. 3, 327--339 (2019; Zbl 1433.30116); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 79--90 (2017) Full Text: DOI
Ku, Min; Wang, Ying; He, Fuli; Kähler, Uwe Riemann-Hilbert problems for monogenic functions on upper half ball of \({\mathbb {R}}^4\). (English) Zbl 1387.30059 Adv. Appl. Clifford Algebr. 27, No. 3, 2493-2508 (2017). MSC: 30E25 35Q15 31A25 31B20 31B10 35J56 35J58 PDF BibTeX XML Cite \textit{M. Ku} et al., Adv. Appl. Clifford Algebr. 27, No. 3, 2493--2508 (2017; Zbl 1387.30059) Full Text: DOI
Bory Reyes, Juan; Abreu Blaya, R.; Pérez-de la Rosa, M. A.; Schneider, Baruch A quaternionic treatment of inhomogeneous Cauchy-Riemann type systems in some traditional theories. (English) Zbl 1375.30067 Complex Anal. Oper. Theory 11, No. 5, 1017-1034 (2017). MSC: 30G35 PDF BibTeX XML Cite \textit{J. Bory Reyes} et al., Complex Anal. Oper. Theory 11, No. 5, 1017--1034 (2017; Zbl 1375.30067) Full Text: DOI
He, Fuli; Ku, Min; Kähler, Uwe; Sommen, Frank; Bernstein, Swanhild Riemann-Hilbert problems for monogenic functions in axially symmetric domains. (English) Zbl 1332.30079 Bound. Value Probl. 2016, Paper No. 22, 11 p. (2016). MSC: 30G35 31B20 31B10 35J56 35J58 PDF BibTeX XML Cite \textit{F. He} et al., Bound. Value Probl. 2016, Paper No. 22, 11 p. (2016; Zbl 1332.30079) Full Text: DOI
Oshorov, Bato B.; Oshorov, Bator B. Boundary value problems for a model system of first-order equations in three-dimensional space. (English. Russian original) Zbl 1331.35255 Differ. Equ. 51, No. 5, 645-651 (2015); translation from Differ. Uravn. 51, No. 5, 635-641 (2015). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35J56 PDF BibTeX XML Cite \textit{B. B. Oshorov} and \textit{B. B. Oshorov}, Differ. Equ. 51, No. 5, 645--651 (2015; Zbl 1331.35255); translation from Differ. Uravn. 51, No. 5, 635--641 (2015) Full Text: DOI
Ruppenthal, J. Friedrichs’ extension lemma with boundary values and applications in complex analysis. (English) Zbl 1250.32035 Complex Var. Elliptic Equ. 56, No. 5, 423-437 (2011). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 32W05 35F99 47F05 PDF BibTeX XML Cite \textit{J. Ruppenthal}, Complex Var. Elliptic Equ. 56, No. 5, 423--437 (2011; Zbl 1250.32035) Full Text: DOI arXiv
Malinnikova, E. Quantitative transfer of smallness for solutions of elliptic equations with analytic coefficients and their gradients. (English) Zbl 1188.31005 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 1185-1193 (2009). Reviewer: Lubomira Softova (Aversa) MSC: 31B35 35J46 PDF BibTeX XML Cite \textit{E. Malinnikova}, in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 1185--1193 (2009; Zbl 1188.31005)
Vieira, Nelson Powers of the parabolic Dirac operator. (English) Zbl 1179.35024 Adv. Appl. Clifford Algebr. 18, No. 3-4, 1023-1032 (2008). MSC: 35A25 35Q41 30G35 35A08 15A66 PDF BibTeX XML Cite \textit{N. Vieira}, Adv. Appl. Clifford Algebr. 18, No. 3--4, 1023--1032 (2008; Zbl 1179.35024) Full Text: DOI
Kajiwara, Joji; Li, Xiaodong; Shon, Kwang Ho Inhomogeneous Cauchy-Riemann system of quaternion and Clifford analysis. (English) Zbl 1159.30031 Le Hung Son (ed.) et al., Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1–5, 2007. Hanoi: National University Publishers. 127-155 (2008). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 30G35 35N05 32L10 PDF BibTeX XML Cite \textit{J. Kajiwara} et al., in: Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1--5, 2007. Hanoi: National University Publishers. 127--155 (2008; Zbl 1159.30031)
Tutschke, Wolfgang Generalized analytic functions in higher dimensions. (English) Zbl 1132.30351 Georgian Math. J. 14, No. 3, 581-595 (2007). MSC: 30G20 30G35 35F20 35F30 PDF BibTeX XML Cite \textit{W. Tutschke}, Georgian Math. J. 14, No. 3, 581--595 (2007; Zbl 1132.30351)
Constales, D.; De Almeida, R.; Krausshar, R. S. On the growth type of entire monogenic functions. (English) Zbl 1109.30040 Arch. Math. 88, No. 2, 153-163 (2007). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 30D15 PDF BibTeX XML Cite \textit{D. Constales} et al., Arch. Math. 88, No. 2, 153--163 (2007; Zbl 1109.30040) Full Text: DOI
Kajiwara, Joji; Li, Xiaodong; Shon, Kwang Ho Inhomogeneous Cauchy-Riemann system of quaternion and Clifford analysis in ellipsoids. (English) Zbl 1158.30037 Far East J. Math. Sci. (FJMS) 20, No. 3, 309-329 (2006). Reviewer: Lidia Elena Kozma (Baia Mare) MSC: 30G35 35N05 32L10 PDF BibTeX XML Cite \textit{J. Kajiwara} et al., Far East J. Math. Sci. (FJMS) 20, No. 3, 309--329 (2006; Zbl 1158.30037)
Constales, D.; de Almeida, R.; Kraußhar, R. S. Asymptotic growth analysis of some PDE related to higher dimensional Dirac type equations. I. (English) Zbl 1088.35053 Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 133-136 (2005). MSC: 35Q40 30G35 35B40 30D15 PDF BibTeX XML Cite \textit{D. Constales} et al., in: ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. Weinheim: Wiley-VCH. 133--136 (2005; Zbl 1088.35053)
Kajiwara, Joji; Li, Xiaodong; Shon, Kwang Ho Inhomogeneous Cauchy Riemann system in quaternion analysis. (English) Zbl 1095.30041 Far East J. Math. Sci. (FJMS) 16, No. 3, 313-349 (2005). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 35N05 PDF BibTeX XML Cite \textit{J. Kajiwara} et al., Far East J. Math. Sci. (FJMS) 16, No. 3, 313--349 (2005; Zbl 1095.30041)
Malinnikova, E. Propagation of smallness for solutions of generalized Cauchy-Riemann systems. (English) Zbl 1061.31007 Proc. Edinb. Math. Soc., II. Ser. 47, No. 1, 191-204 (2004). Reviewer: Dimitrios Betsakos (Thessaloniki) MSC: 31B35 35B35 35J45 PDF BibTeX XML Cite \textit{E. Malinnikova}, Proc. Edinb. Math. Soc., II. Ser. 47, No. 1, 191--204 (2004; Zbl 1061.31007) Full Text: DOI
Nguyen, Thanh Van Some properties of the inhomogeneous generalized Cauchy-Riemann systems in quaternionic analysis and its applications. (English) Zbl 1070.37032 Southeast Asian Bull. Math. 28, No. 1, 99-112 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 30G35 30G20 PDF BibTeX XML Cite \textit{T. Van Nguyen}, Southeast Asian Bull. Math. 28, No. 1, 99--112 (2004; Zbl 1070.37032)
Nguyen Than Van The inhomogeneous generalized Cauchy-Riemann systems in a Clifford algebra. (English) Zbl 1075.30023 Vietnam J. Math. 31, No. 2, 167-175 (2003). Reviewer: Uwe Kähler (Aveiro) MSC: 30G35 15A66 PDF BibTeX XML Cite \textit{Nguyen Than Van}, Vietnam J. Math. 31, No. 2, 167--175 (2003; Zbl 1075.30023)
Çelebi, A. Okay; Koca, K. A boundary value problem for generalized analytic functions in Wiener-type domains. (English) Zbl 1051.30043 Complex Variables, Theory Appl. 48, No. 6, 513-526 (2003). Reviewer: Gerhard Jank (Aachen) MSC: 30G20 35J55 PDF BibTeX XML Cite \textit{A. O. Çelebi} and \textit{K. Koca}, Complex Variables, Theory Appl. 48, No. 6, 513--526 (2003; Zbl 1051.30043) Full Text: DOI
Le, Hung Son Extension theorems for monogenic functions with parameter taking values in a Clifford algebra. (English) Zbl 1074.30529 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1459-1469 (2000). MSC: 30G35 35N05 PDF BibTeX XML Cite \textit{H. S. Le}, Int. Soc. Anal. Appl. Comput. 8, 1459--1469 (2000; Zbl 1074.30529)
Tutschke, W. Solution of initial value problems for first order systems using matrix notation. (English) Zbl 1026.35026 Appl. Anal. 73, No. 1-2, 271-280 (1999). MSC: 35F10 30G35 PDF BibTeX XML Cite \textit{W. Tutschke}, Appl. Anal. 73, No. 1--2, 271--280 (1999; Zbl 1026.35026) Full Text: DOI
Begehr, Heinrich Iterations of Pompeiu operators. (English) Zbl 0908.47048 Mem. Differ. Equ. Math. Phys. 12, 13-21 (1997). MSC: 47G10 35J05 35C15 PDF BibTeX XML Cite \textit{H. Begehr}, Mem. Differ. Equ. Math. Phys. 12, 13--21 (1997; Zbl 0908.47048) Full Text: EuDML EMIS
Renelt, H. Series expansions for solutions of systems of Cauchy-Riemann equations. (Reihenentwicklungen für Lösungen Cauchy-Riemannscher Differentialgleichungssysteme.) (German) Zbl 0864.30036 Renelt, Heinrich (ed.) et al., Reiner Kühnau zum 60. Geburtstag gewidmet. Gießen: Selbstverlag des Math. Instituts, Univ. Gießen, Mitt. Math. Semin. Gießen. 228, 31-38 (1996). Reviewer: R.Kühnau (Halle) MSC: 30G20 PDF BibTeX XML Cite \textit{H. Renelt}, in: Reiner Kühnau zum 60. Geburtstag gewidmet. Gießen: Selbstverlag des Math. Instituts, Univ. Gießen. 31--38 (1996; Zbl 0864.30036)
Christ, Michael A progress report on analytic hypoellipticity. (English) Zbl 0924.47029 Noguchi, J. (ed.) et al., Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19–29, 1995. Singapore: World Scientific. 123-146 (1996). Reviewer: P.K.Banerji (Jodhpur) MSC: 47F05 65H10 35J99 35D10 PDF BibTeX XML Cite \textit{M. Christ}, in: Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19--29, 1995. Singapore: World Scientific. 123--146 (1996; Zbl 0924.47029)
Khimshiashvili, G. Elliptic boundary problems for Cauchy-Riemann systems. (English) Zbl 0871.35024 Sprössig, Wolfgang (ed.) et al., Proceedings of the symposium on analytical and numerical methods in quaternionic and Clifford analysis, June 5–7, 1996, Seiffen, Germany. Freiberg: TU Bergakademie Freiberg, 77-83 (1996). MSC: 35F15 15A66 PDF BibTeX XML Cite \textit{G. Khimshiashvili}, in: Proceedings of the symposium on analytical and numerical methods in quaternionic and Clifford analysis, June 5--7, 1996, Seiffen, Germany. Freiberg: TU Bergakademie Freiberg. 77--83 (1996; Zbl 0871.35024)
Tungatarov, A. Continuous solutions of a generalized Cauchy-Riemann system with a finite number of singular points. (English. Russian original) Zbl 0836.30030 Math. Notes 56, No. 1, 722-729 (1994); translation from Mat. Zametki 56, No. 1, 105-115 (1994). Reviewer: M.Reissig (Freiberg) MSC: 30G20 35J55 PDF BibTeX XML Cite \textit{A. Tungatarov}, Math. Notes 56, No. 1, 722--729 (1994; Zbl 0836.30030); translation from Mat. Zametki 56, No. 1, 105--115 (1994) Full Text: DOI
Davis, K. M.; Gilbert, J. E.; Kunze, R. A. Elliptic differential operators in harmonic analysis. I: Generalized Cauchy-Riemann systems. (English) Zbl 0742.43005 Am. J. Math. 113, No. 1, 75-116 (1991). Reviewer: K.Riives (Tartu) MSC: 43A77 31B05 32A35 PDF BibTeX XML Cite \textit{K. M. Davis} et al., Am. J. Math. 113, No. 1, 75--116 (1991; Zbl 0742.43005) Full Text: DOI
Shirinbekov, M. On Hartogs’ theorem in classes of nonanalytic functions. (English. Russian original) Zbl 0749.32002 Sov. Math., Dokl. 43, No. 2, 556-561 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 840-844 (1991). Reviewer: A.Yu.Rashkovsky (Khar’kov) MSC: 32A30 30G20 35F99 32A17 PDF BibTeX XML Cite \textit{M. Shirinbekov}, Sov. Math., Dokl. 43, No. 2, 556--561 (1991; Zbl 0749.32002); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 840--844 (1991)
Stern, I. Boundary value problems for generalized Cauchy-Riemann systems in the space. (English) Zbl 0792.35022 Kühnau, R. (ed.) et al., Boundary value and initial value problems in complex analysis: studies in complex analysis and its applications to partial differential equations 1. Papers from the 5th conference on complex analysis, held in Halle, Germany, in December 1988. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 256, 159-183 (1991). MSC: 35E20 32V05 11E88 PDF BibTeX XML Cite \textit{I. Stern}, Pitman Res. Notes Math. Ser. 256, 159--183 (1991; Zbl 0792.35022)
Mikhajlov, L. G. A quasilinear generalized Cauchy-Riemann system with several independent variables. (English. Russian original) Zbl 0713.35061 Sov. Math., Dokl. 40, No. 1, 202-206 (1990); translation from Dokl. Akad. Nauk SSSR 307, No. 5, 1054-1059 (1989). Reviewer: A.Dzhuraev MSC: 35N10 PDF BibTeX XML Cite \textit{L. G. Mikhajlov}, Sov. Math., Dokl. 40, No. 1, 202--206 (1990; Zbl 0713.35061); translation from Dokl. Akad. Nauk SSSR 307, No. 5, 1054--1059 (1989)
Xu, Zhenyuan On boundary value problem of Neumann type for hypercomplex function with values in a Clifford algebra. (English) Zbl 0713.35060 Geometry and physics, Proc. 9th Winter Sch., Srní/Czech. 1989, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 22, 213-226 (1990). Reviewer: Zhenyuan Xu MSC: 35N05 35J55 15A66 PDF BibTeX XML
Ospanov, K. N.; Segizbaeva, R. U. On conditions for coercive solvability of a generalized Cauchy-Riemann system. (Russian) Zbl 0693.35046 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1989, No. 5(150), 24-27 (1989). Reviewer: P.Drábek MSC: 35J45 PDF BibTeX XML Cite \textit{K. N. Ospanov} and \textit{R. U. Segizbaeva}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1989, No. 5(150), 24--27 (1989; Zbl 0693.35046)
Povolotskij, A. I.; Utepkaliev, S. U. Investigation of the nonlinear Cauchy-Riemann system in Orlicz spaces. (Russian) Zbl 0743.35023 Funkts. Anal. 30, 77-83 (1989). Reviewer: Li Mingzhong (Shanghai) MSC: 35J60 30G20 35D05 PDF BibTeX XML Cite \textit{A. I. Povolotskij} and \textit{S. U. Utepkaliev}, Funkts. Anal. 30, 77--83 (1989; Zbl 0743.35023)
Vekua, I. N. Oleĭnik, O. A. (ed.); Shabat, B. V. (ed.) Generalized analytic functions. 2nd ed., rev.. Ed. by O. A. Olejnik and B. V. Shabat. (Обобщенные аналитические функции.) (Russian) Zbl 0698.47036 Moskva: Nauka. 512 p. (1988). MSC: 30G20 35A25 30-02 35-02 35Jxx 35A22 PDF BibTeX XML Cite \textit{I. N. Vekua} et al., Обобщенные аналитические функции (Russian). 2nd ed., rev.. Ed. by O. A. Olejnik and B. V. Shabat. Moskva: Nauka (1988; Zbl 0698.47036)
Akhmedov, R. On a one-to-one correspondence of solution manifolds of generalized Cauchy-Riemann systems with a singular coefficient. (Russian) Zbl 0652.35016 Dokl. Akad. Nauk Tadzh. SSR 29, 251-254 (1986). Reviewer: P.Szilagyi MSC: 35G05 PDF BibTeX XML Cite \textit{R. Akhmedov}, Dokl. Akad. Nauk Tadzh. SSR 29, 251--254 (1986; Zbl 0652.35016)
Chernyaev, A. P. Application of asymptotic estimates of Fourier transforms in the determination of source functions of some elliptic systems. (English. Russian original) Zbl 0619.35039 Differ. Equations 22, 510-517 (1986); translation from Differ. Uravn. 22, No. 4, 684-692 (1986). Reviewer: O.Liess MSC: 35J45 35A08 35C05 PDF BibTeX XML Cite \textit{A. P. Chernyaev}, Differ. Equations 22, 510--517 (1986; Zbl 0619.35039); translation from Differ. Uravn. 22, No. 4, 684--692 (1986)
Kawai, Takahiro; Takei, Yoshitsugu On a closed range property of a linear differential operator. (English) Zbl 0607.35033 Proc. Japan Acad., Ser. A 62, 386-388 (1986). MSC: 35J55 47F05 58J15 32W05 35A30 35B45 PDF BibTeX XML Cite \textit{T. Kawai} and \textit{Y. Takei}, Proc. Japan Acad., Ser. A 62, 386--388 (1986; Zbl 0607.35033) Full Text: DOI
Mikhajlov, L. G. Some overdetermined systems of partial differential equations with two unknown functions. (Nekotorye neopredelennye sistemy uravnenij v chastnykh proizvodnykh s dvumya neizvestnymi funktsiyami.) (Russian) Zbl 0703.35125 Dushanbe: Donish. 116 p. R. 1.30 (1986). MSC: 35Nxx 35-02 35G05 35F05 35Q15 35Q40 32C38 PDF BibTeX XML Cite \textit{L. G. Mikhajlov}, Nekotorye neopredelennye sistemy uravnenij v chastnykh proizvodnykh s dvumya neizvestnymi funktsiyami (Russian). Dushanbe: Donish (1986; Zbl 0703.35125)
Sommen, Franciscus Monogenic functions on surfaces. (English) Zbl 0557.30042 J. Reine Angew. Math. 361, 145-161 (1985). MSC: 30G35 35A10 35J67 46F20 53C27 58J99 PDF BibTeX XML Cite \textit{F. Sommen}, J. Reine Angew. Math. 361, 145--161 (1985; Zbl 0557.30042) Full Text: DOI Crelle EuDML
Arushanyan, Z. A. A certain class of generalized Cauchy-Riemann systems. (English) Zbl 0544.35020 J. Sov. Math. 27, 2438-2441 (1984). MSC: 35F05 35E20 32A35 PDF BibTeX XML Cite \textit{Z. A. Arushanyan}, J. Sov. Math. 27, 2438--2441 (1984; Zbl 0544.35020) Full Text: DOI
Chernyaev, A. P. Fundamental potential solutions of generalized Cauchy-Riemann systems of a certain class. (English) Zbl 0565.35017 Differ. Equations 19, 356-366 (1983). MSC: 35F05 35A08 PDF BibTeX XML Cite \textit{A. P. Chernyaev}, Differ. Equations 19, 356--366 (1983; Zbl 0565.35017)
Chernyaev, A. P. Fundamental solutions for the potential of generalized Cauchy-Riemann systems of a certain class. (Russian) Zbl 0531.35014 Differ. Uravn. 19, No. 3, 470-482 (1983). MSC: 35F05 35A08 PDF BibTeX XML Cite \textit{A. P. Chernyaev}, Differ. Uravn. 19, No. 3, 470--482 (1983; Zbl 0531.35014)
Gilbert, J. E.; Kunze, R. A.; Stanton, R. J.; Tomas, P. A. A kernel for generalized Cauchy-Riemann systems. (English) Zbl 0517.22012 Harmonic analysis, Proc. Conf., Cortona/Italy 1982, Lect. Notes Math. 992, 400-415 (1983). MSC: 22E45 PDF BibTeX XML
Arushanyan, Z. A. On a class of generalized Cauchy-Riemann systems. (Russian) Zbl 0514.35014 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 126, 15-20 (1983). MSC: 35F05 35E20 32A35 PDF BibTeX XML Cite \textit{Z. A. Arushanyan}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 126, 15--20 (1983; Zbl 0514.35014) Full Text: EuDML
Brackx, F.; Pincket, W. The Newtonian potential for a generalized Cauchy-Riemann operator in Euclidean space. (English) Zbl 0501.31006 Contemp. Math. 11, 219-245 (1982). MSC: 31C15 35J45 30G99 PDF BibTeX XML Cite \textit{F. Brackx} and \textit{W. Pincket}, Contemp. Math. 11, 219--245 (1982; Zbl 0501.31006) Full Text: DOI
Snyder, Herbert H. Elliptic systems in the plane associated with certain partial differential equations of deformable media. (English) Zbl 0493.35043 Contemp. Math. 11, 199-211 (1982). MSC: 35J45 30G35 74K25 PDF BibTeX XML Cite \textit{H. H. Snyder}, Contemp. Math. 11, 199--211 (1982; Zbl 0493.35043) Full Text: DOI
Sommen, F. A product and an exponential function in hypercomplex function theory. (English) Zbl 0454.30039 Appl. Anal. 12, 13-26 (1981). MSC: 30G30 30G35 PDF BibTeX XML Cite \textit{F. Sommen}, Appl. Anal. 12, 13--26 (1981; Zbl 0454.30039) Full Text: DOI
Obolashvili, E. I. The Fourier transformation and its applications in elasticity theory. (Preobrazovanie Fur’e i ego primeneniya v teorii uprugosti). (Russian) Zbl 0507.73002 Akademiya Nauk Gruzinskoj SSR. Tbilisskij Ordena. Trudovogo Krasnogo Znameni Matematicheskij Institut im. A. M. Razmadze. Tbilisi: Izdatel’stvo ”Metsniereba”. 230 p. R. 1.05 (1979). MSC: 74Bxx 74-02 42B10 PDF BibTeX XML
Delanghe, R.; Brackx, F. Regular solutions at infinity of a generalized Cauchy-Riemann operator. (English) Zbl 0399.35045 Simon Stevin 53, 13-30 (1979). MSC: 35J55 35C05 35D10 35B99 PDF BibTeX XML Cite \textit{R. Delanghe} and \textit{F. Brackx}, Simon Stevin 53, 13--30 (1979; Zbl 0399.35045)
Mikhajlov, L. G. Über Verträglichkeitsbedingungen für ein verallgemeinertes Cauchy- Riemann-System mit mehreren Veränderlichen. (Russian) Zbl 0415.35059 Dokl. Akad. Nauk Tadzh. SSR 21, No. 6, 8-11 (1978). MSC: 35N10 35A20 PDF BibTeX XML Cite \textit{L. G. Mikhajlov}, Dokl. Akad. Nauk Tadzh. SSR 21, No. 6, 8--11 (1978; Zbl 0415.35059)
Besjes, J.; Martini, R. A generalization of Hartogs theorem. (English) Zbl 0394.35036 Differ. Equat. Appl., Proc. 3rd Scheveningen Conf., Math. Stud. 31, 223-235 (1978). MSC: 35J45 35B65 35D10 35A05 PDF BibTeX XML
Mikhailov, L. G. A new class of singular integral equations and its application to differential equations with singular coefficients. (English) Zbl 0198.15301 Berlin: Akademie-Verlag viii, 223 p. (1970). Reviewer: K. N. Srivastava MSC: 45E05 45-02 35-02 30E25 35Jxx PDF BibTeX XML