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**New trends in approximation theory. In memory of André Boivin. Proceedings of the conference, Toronto, Canada, July 25–29, 2016.**
*(English)*
Zbl 1400.41001

Fields Institute Communications 81. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-7542-6/hbk; 978-1-4939-7543-3/ebook). x, 276 p. (2018).

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The wide variety of presentations composed a mosaic of aspects of approximation theory, highlighting interesting connections with important contemporary areas of Analysis. Primary topics discussed include application of approximation theory (isoperimetric inequalities, construction of entire order-isomorphisms, dynamical sampling); approximation by harmonic and holomorphic functions (especially uniform and tangential approximation), polynomial and rational approximation; zeros of approximants and zero-free approximation; tools used in approximation theory; approximation on complex manifolds, in product domains, and in function spaces; and boundary behaviour and universality properties of Taylor and Dirichlet series.

The articles of this volume will be reviewed individually.

Indexed articles:

Gauthier, Paul; Manolaki, Myrto; Mashreghi, Javad, The life and work of André Boivin, 1-25 [Zbl 1407.01020]

Falcó, Javier; Nestoridis, Vassili; Zadik, Ilias, A note on the density of rational functions in \(A^\infty(\varOmega)\), 27-35 [Zbl 1417.30031]

Burke, Maxim R., Approximation by entire functions in the construction of order-isomorphisms and large cross-sections, 37-69 [Zbl 1417.30030]

Gauthier, Paul; Paramonov, Petr V., Approximation by solutions of elliptic equations and extension of subharmonic functions, 71-87 [Zbl 1412.30121]

Mashreghi, Javad; Ransford, Thomas, Approximation in the closed unit ball, 89-129 [Zbl 1412.30147]

Khavinson, Dmitry, A thought on approximation by bi-analytic functions, 131-136 [Zbl 1433.30099]

DeFrain, Isaac, Chebyshev polynomials associated with a system of continua, 137-149 [Zbl 1435.30016]

Baratchart, Laurent; Leblond, Juliette; Seyfert, Fabien, Constrained \(L^2\)-approximation by polynomials on subsets of the circle, 151-171 [Zbl 1420.30008]

Golberg, Anatoly, Extremal bounds of Teichmüller-Wittich-Belinskiĭ type for planar quasiregular mappings, 173-199 [Zbl 1412.30091]

Abakumov, Evgeny; Müller, Jürgen; Nestoridis, Vassili, Families of universal Taylor series depending on a parameter, 201-213 [Zbl 1421.30078]

Danielyan, Arthur A., Interpolation by bounded analytic functions and related questions, 215-224 [Zbl 1429.30045]

Fournier, Richard; Ruscheweyh, Stephan, On two interpolation formulas for complex polynomials, 225-234 [Zbl 1421.30048]

Prǎjiturǎ, Gabriel T., Operators with simple orbital behavior, 235-246 [Zbl 07029356]

Gardiner, Stephen J., Taylor series, universality and potential theory, 247-264 [Zbl 1432.30045]

Gauthier, Paul; Manolaki, Myrto, Subharmonic images of a convergent sequence, 265-276 [Zbl 1407.31003]

### MSC:

41-06 | Proceedings, conferences, collections, etc. pertaining to approximations and expansions |

41A30 | Approximation by other special function classes |

01A70 | Biographies, obituaries, personalia, bibliographies |

00B25 | Proceedings of conferences of miscellaneous specific interest |

### Biographic References:

Boivin, André
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\textit{J. Mashreghi} (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 (2018; Zbl 1400.41001)

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