Meshfree approximation methods are a relatively new area of research, and there are only a
few books covering it at present. Whereas other works focus almost entirely on theoretical …

Ben shu zhu yao jie shao le xiao bo fen xi ji qi ying yong, Nei rong bao kuo: duo fen bian fen
xi, Zheng jiao xiao bo, Shuang zheng jiao xiao bo, Xiao bo bao, Duo xiao bo, Duo yuan xiao …

We review characterizations of (conditional) positive definiteness and show how they apply
to the theory of radial basis functions. We then give complete proofs for the (conditional) …

We construct classes of nonstationary wavelets generated by what we callspherical basis
functions, which comprise a subclass of Schoenberg's positive definite functions on them …

We discuss the problem of detecting the location of discontinuities of derivatives of a
periodic function, given either finitely many Fourier coefficients of the function, or the …

Ein Teilgebiet der multivariaten Approximation ist die Approximation und Interpolation mit
radialen Basisfunktionen, die seit einigen Jahren gr undlich untersucht wird. Hierbei wird die …

The Heisenberg uncertainty principle and the uncertainty principle for self-adjoint operators
have been known and applied for decades. Both in quantum mechanics and in time …

We present a unifying theme in an abstract setting for some of the recent work on polynomial
frames on the circle, the unit interval, the real line, and the Euclidean sphere. In particular …

We introduce a class of polynomial frames suitable for analyzing data on the surface of the
unit sphere of a Euclidean space. Our frames consist of polynomials, but are well localized …

Necessary and sufficient conditions are given for the convergence of infinite products of
matrices of complex numbers. The results are applied to the solution of periodic matrix …