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The life and work of André Boivin. (English) Zbl 1407.01020

Mashreghi, Javad (ed.) et al., New trends in approximation theory. In memory of André Boivin. Proceedings of the conference, Toronto, Canada, July 25–29, 2016. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer. Fields Inst. Commun. 81, 1-25 (2018).
For the entire collection see [Zbl 1400.41001].

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
30-03 History of functions of a complex variable

Biographic References:

Boivin, André
Full Text: DOI

References:

[1] Boivin, André; Gauthier, Paul M.; Manolaki, Myrto: On zero sets of harmonic and real analytic functions. Ann. Math. Québec (to appear). · Zbl 1408.31003
[2] Boivin, André; Gauthier, Paul M.; Paramonov, Petr V.: Runge and Walsh type extensions of smooth subharmonic functions on open Riemann surfaces. Mat. Sb. 206 (2015), no. 1, 5-28. · Zbl 1314.31001
[3] Boivin, André; Zhu, Changzhong: Interpolation and moment in weighted Hardy spaces. Invariant subspaces of the shift operator, 179-195, Contemp. Math., 638, Centre Rech. Math. Proc., Amer. Math. Soc., Providence, RI, 2015. · Zbl 1360.30028
[4] Boivin, André; Zhu, Changzhong: Bi-orthogonal expansions in the space L^2(0, ∞). Blaschke products and their applications, 99-112, Fields Inst. Commun., 65, Springer, New York, 2013. · Zbl 1277.30021
[5] Boivin, André; Gauthier, Paul M.; Paramonov, Petr V.: C^m-subharmonic extension of Runge type from closed to open subsets of \(\mathbb{R}^N\). Proc. Steklov Inst. Math. 279 (2012), no. 1, 207-214. · Zbl 1298.31008
[6] Askaripour, Nadya; Boivin, André: Meromorphic approximation on noncompact Riemann surfaces. Complex analysis and potential theory, 171-192, CRM Proc. Lecture Notes, 55, Amer. Math. Soc., Providence, RI, 2012. · Zbl 1319.30036
[7] Boivin, André; Zhu, Changzhong: Completeness of the system {f(λ_nz)} in \(L^2_a[\varOmega ]\). Hilbert spaces of analytic functions, 173-196, CRM Proc. Lecture Notes, 51, Amer. Math. Soc., Providence, RI, 2010. · Zbl 1230.30019
[8] Boivin, André; Zhu, Changzhong: Approximation in weighted Hardy spaces for the unit disc. Hilbert spaces of analytic functions, 65-80, CRM Proc. Lecture Notes, 51, Amer. Math. Soc., Providence, RI, 2010. · Zbl 1208.30050
[9] Boivin, André; Gauthier, Paul M.; Zhu, Changzhong: Weighted Hardy spaces for the unit disc: approximation properties. Complex and harmonic analysis, 129-155, DEStech Publ., Inc., Lancaster, PA, 2007. · Zbl 1146.30034
[10] Boivin, André; Jiang, Baoguo: Bounded pointwise approximation on open Riemann surfaces. Analysis (Munich) 27 (2007), no. 2-3, 213-225. · Zbl 1132.30344
[11] Boivin, André; Zhong, Hualiang: Completeness of systems of complex exponentials and the Lambert W functions. Trans. Amer. Math. Soc. 359 (2007), no. 4, 1829-1849. · Zbl 1210.42046
[12] Boivin, André; Zhong, Hualiang: Peters, Terry M.: Explicit bounds of complex exponential frames. J. Inequal. Appl. 2006, Art. ID 38173, 12 pp. · Zbl 1095.42021
[13] Boivin, André; Gauthier, Paul M.; Schmieder Gerald: Simultaneous approximation on two subsets of an open Riemann surface. J. Approx. Theory 138 (2006), no. 2, 151-167. · Zbl 1096.30034
[14] Boivin, André; Zhong, Hualiang: On a class of non-harmonic Fourier series. Houston J. Math. 31 (2005), no. 3, 937-956. · Zbl 1091.42023
[15] Boivin, André; Jiang, Baoguo: Uniform approximation by meromorphic functions on Riemann surfaces. J. Anal. Math. 93 (2004), 199-214. · Zbl 1084.30048
[16] Boivin, André; Gauthier, Paul. M.; Paramonov, Petr V.: On uniform approximation by n-analytic functions on closed sets in \(\mathbb{C} \). Izv. Math. 68 (2004), no. 3, 447-459. · Zbl 1069.30076
[17] Boivin, André; Zhu, Changzhong: The growth of an entire function and its Dirichlet coefficients and exponents. Complex Var. Theory Appl. 48 (2003), no. 5, 397-415. · Zbl 1030.30002
[18] Boivin, André; Zhu, Changzhong: On the completeness of the system \(\{z^{\tau_n}\}\) in L^2. J. Approx. Theory 118 (2002), no. 1, 1-19. · Zbl 1014.30004
[19] Boivin, André; Gauthier, Paul M.; Paramonov, Petr V.: Approximation on closed sets by analytic or meromorphic solutions of elliptic equations and applications. Canad. J. Math. 54 (2002), no. 5, 945-969. · Zbl 1022.30043
[20] Boivin, André; Zhu, Changzhong: On the L^2-completeness of some systems of analytic functions. Complex Variables Theory Appl. 45 (2001), no. 3, 273-295. · Zbl 1023.30008
[21] Boivin, André; Gauthier, Paul M.: Holomorphic and harmonic approximation on Riemann surfaces. Approximation, complex analysis, and potential theory (Montreal, QC, 2000), 107-128, NATO Sci. Ser. II Math. Phys. Chem., 37, Kluwer Acad. Publ., Dordrecht, 2001. · Zbl 1017.30044
[22] Boivin, André; Paramonov, Petr V.: On radial limit functions for entire solutions of second order elliptic equations in \(\mathbb{R}^2\). Publ. Mat. 42 (1998), no. 2, 509-519. · Zbl 0921.35023
[23] Boivin, André; Paramonov, Petr V.: Approximation by meromorphic and entire solutions of elliptic equations in Banach spaces of distributions. Sb. Math. 189 (1998), no. 3-4, 481-502. · Zbl 0915.30033
[24] Boivin, André; Dwilewicz, Roman: Extension and approximation of CR functions on tube manifolds. Trans. Amer. Math. Soc. 350 (1998), no. 5, 1945-1956. · Zbl 0903.32005
[25] Boivin, André; Nersessian, Ashot H.: An example in tangential meromorphic approximation. J. Approx. Theory 87 (1996), no. 1, 103-111. · Zbl 0861.30039
[26] Boivin, André; Bonilla, Antonio; Fariña, Juan C.: Meromorphic approximation in weighted L^p spaces. Proc. Roy. Irish Acad. Sect. A 95 (1995), no. 1, 47-64. · Zbl 0860.30035
[27] Boivin, André; Dwilewicz, Roman: CR mappings of circular CR manifolds. Canad. Math. Bull. 38 (1995), no. 4, 396-407. · Zbl 0845.32013
[28] Boivin, André; Gauthier, Paul M.: Tangential and uniform approximation. Linear and Complex Analysis Problem Book 3, Part II. Springer-Verlag Lecture Notes in Mathematics, 1574 (1994), 96-100. · Zbl 0893.30037
[29] Boivin, André; Mateu, Joan; Verdera, Joan: Weighted L^p approximation by holomorphic functions. Approximation by solutions of partial differential equations (Hanstholm, 1991), 27-49, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 365, Kluwer Acad. Publ., Dordrecht, 1992. · Zbl 0729.30037
[30] Boivin, André; Dwilewicz, Roman: Holomorphic approximation of CR functions on tubular submanifolds of C^2. Proceedings of the Tenth Conference on Analytic Functions (Szczyrk, 1990). Ann. Polon. Math. 55 (1991), 11-18. · Zbl 0754.32008
[31] Boivin, André; Verdera, Joan: Approximation par fonctions holomorphes dans les espaces L^p, Lipα and BMO spaces. Indiana Univ. Math. J. 40 (1991), no. 2, 393-418. · Zbl 0729.30037
[32] Boivin, André: A remark on the approximation property and tensor approximation on complex manifolds. Complex analysis and applications ‘87 (Varna, 1987), 28-31, Publ. House Bulgar. Acad. Sci., Sofia, 1989.
[33] Boivin, André: T-invariant algebras on Riemann surfaces II. Constructive Function Theory-86 Conference (Edmonton, AB, 1986). Rocky Mountain J. Math. 19 (1989), no. 1, 83-92. · Zbl 0695.30035
[34] Boivin, André: T-invariant algebras on Riemann surfaces. Mathematika 34 (1987), no. 2, 160-171. · Zbl 0619.30040 · doi:10.1112/S0025579300013413
[35] Boivin, André; Gauthier, Paul M.; Hengartner, Walter: Approximation uniforme par des fonctions harmoniques avec singularités. Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 31(79) (1987), no. 1, 3-8. · Zbl 0614.31005
[36] Boivin, André: Carleman approximation on Riemann surfaces. Math. Ann. 275 (1986), no. 1, 57-70. · Zbl 0583.30035 · doi:10.1007/BF01458583
[37] Boivin, André; Gauthier, Paul M.: Approximation harmonique sur les surfaces de Riemann. Canad. J. Math. 36 (1984), no. 1, 1-8. · Zbl 0509.31003
[38] Boivin, André; Gauthier, Paul M.: Tangential approximation. Linear and Complex Analysis Problem Book, Springer-Verlag Lecture Notes, 1043 (1984), 453-456.
[39] Boivin, André: Approximation uniforme harmonique et tangentielle holomorphe ou méromorphe sur les surfaces de Riemann. Doctoral Thesis, Université de Montréal, 1984. pp.87.
[40] Boivin, André: On Carleman approximation by meromorphic functions. Analytic functions, Blazejewko 1982 (Blazejewko, 1982), 9-15, Lecture Notes in Math., 1039, Springer, Berlin, 1983. · Zbl 0536.30027
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