Skip to main content

The Life and Work of André Boivin

  • Chapter
  • First Online:
New Trends in Approximation Theory

Part of the book series: Fields Institute Communications ((FIC,volume 81))

  • 506 Accesses

Abstract

André Boivin will be fondly remembered for many reasons. We shall attempt to convey the impact he has had on the authors of this note (and many others) by describing his wonderful personality and his important contributions in the field of Complex Approximation Theory.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 119.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Boivin, André; Gauthier, Paul M.; Manolaki, Myrto: On zero sets of harmonic and real analytic functions. Ann. Math. Québec (to appear).

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  7. Boivin, André; Zhu, Changzhong: Completeness of the system {f(λ n z)} in \(L^2_a[\varOmega ]\). Hilbert spaces of analytic functions, 173–196, CRM Proc. Lecture Notes, 51, Amer. Math. Soc., Providence, RI, 2010.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  10. Boivin, André; Jiang, Baoguo: Bounded pointwise approximation on open Riemann surfaces. Analysis (Munich) 27 (2007), no. 2–3, 213–225.

    Google Scholar 

  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.

    Google Scholar 

  12. Boivin, André; Zhong, Hualiang: Peters, Terry M.: Explicit bounds of complex exponential frames. J. Inequal. Appl. 2006, Art. ID 38173, 12 pp.

    Google Scholar 

  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.

    Google Scholar 

  14. Boivin, André; Zhong, Hualiang: On a class of non-harmonic Fourier series. Houston J. Math. 31 (2005), no. 3, 937–956.

    Google Scholar 

  15. Boivin, André; Jiang, Baoguo: Uniform approximation by meromorphic functions on Riemann surfaces. J. Anal. Math. 93 (2004), 199–214.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  24. Boivin, André; Dwilewicz, Roman: Extension and approximation of CR functions on tube manifolds. Trans. Amer. Math. Soc. 350 (1998), no. 5, 1945–1956.

    Google Scholar 

  25. Boivin, André; Nersessian, Ashot H.: An example in tangential meromorphic approximation. J. Approx. Theory 87 (1996), no. 1, 103–111.

    Google Scholar 

  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.

    Google Scholar 

  27. Boivin, André; Dwilewicz, Roman: CR mappings of circular CR manifolds. Canad. Math. Bull. 38 (1995), no. 4, 396–407.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  34. Boivin, André: T-invariant algebras on Riemann surfaces. Mathematika 34 (1987), no. 2, 160–171.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    Google Scholar 

  36. Boivin, André: Carleman approximation on Riemann surfaces. Math. Ann. 275 (1986), no. 1, 57–70.

    Article  MathSciNet  MATH  Google Scholar 

  37. Boivin, André; Gauthier, Paul M.: Approximation harmonique sur les surfaces de Riemann. Canad. J. Math. 36 (1984), no. 1, 1–8.

    Google Scholar 

  38. Boivin, André; Gauthier, Paul M.: Tangential approximation. Linear and Complex Analysis Problem Book, Springer-Verlag Lecture Notes, 1043 (1984), 453–456.

    Google Scholar 

  39. Boivin, André: Approximation uniforme harmonique et tangentielle holomorphe ou méromorphe sur les surfaces de Riemann. Doctoral Thesis, Université de Montréal, 1984. pp.87.

    Google Scholar 

  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.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Myrto Manolaki .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Science+Business Media, LLC, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Gauthier, P., Manolaki, M., Mashreghi, J. (2018). The Life and Work of André Boivin. In: Mashreghi, J., Manolaki, M., Gauthier, P. (eds) New Trends in Approximation Theory. Fields Institute Communications, vol 81. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7543-3_1

Download citation

Publish with us

Policies and ethics