Approximation in Hermite spaces of smooth functions

[1]  N. Aronszajn Theory of Reproducing Kernels. , 1950 .

[2]  L. Carlitz The product of several Hermite or Laguerre polynomials , 1962 .

[3]  F. B. Hildebrand Introduction to Numerical Analysis , 1976 .

[4]  Begnaud Francis Hildebrand,et al.  Introduction to numerical analysis: 2nd edition , 1987 .

[5]  H. Woxniakowski Information-Based Complexity , 1988 .

[6]  A. ADoefaa,et al.  ? ? ? ? f ? ? ? ? ? , 2003 .

[7]  Henryk Wozniakowski,et al.  Tractability of Approximation for Weighted Korobov Spaces on Classical and Quantum Computers , 2004, Found. Comput. Math..

[8]  Rene F. Swarttouw,et al.  Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.

[9]  I. Sloan,et al.  Lattice Rules for Multivariate Approximation in the Worst Case Setting , 2006 .

[10]  G. Larcher,et al.  Quasi-Monte Carlo and Monte Carlo Methods and their Application in Finance , 2008 .

[11]  E. Novak,et al.  Tractability of Multivariate Problems , 2008 .

[12]  E. Novak,et al.  Tractability of Multivariate Problems Volume II: Standard Information for Functionals , 2010 .

[13]  Henryk Wozniakowski,et al.  Exponential convergence and tractability of multivariate integration for Korobov spaces , 2011, Math. Comput..

[14]  E. Novak,et al.  Tractability of Multivariate Problems, Volume III: Standard Information for Operators. , 2012 .

[15]  Anargyros Papageorgiou,et al.  A new criterion for tractability of multivariate problems , 2014, J. Complex..

[16]  Henryk Wozniakowski,et al.  Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces , 2013, Math. Comput..

[17]  G. Leobacher,et al.  High-dimensional integration on $\mathbb{R}^d$, weighted Hermite spaces, and orthogonal transforms , 2014, 1409.6109.

[18]  Henryk Wozniakowski,et al.  Tractability of multivariate analytic problems , 2014, Uniform Distribution and Quasi-Monte Carlo Methods.

[19]  Henryk Wozniakowski,et al.  Approximation of analytic functions in Korobov spaces , 2012, J. Complex..

[20]  Gunther Leobacher,et al.  High-dimensional integration on Rd, weighted Hermite spaces, and orthogonal transforms , 2015, J. Complex..

[21]  Peter Kritzer,et al.  Integration in Hermite spaces of analytic functions , 2014, J. Complex..

[22]  Henryk Wozniakowski,et al.  Tractability of multivariate approximation defined over Hilbert spaces with exponential weights , 2015, J. Approx. Theory.