26 citations · 59 across the 28 of their papers we have counts for
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Exponential Splines of Complex Order
Peter Massopust
We extend the concept of exponential B-spline to complex orders. This extension contains as special cases the class of exponential splines and also the class of polynomial B-spline…
Local fractal functions and function spaces
Peter Massopust
We introduce local iterated function systems and present some of their basic properties. A new class of local attractors of local iterated function systems, namely local fractal fu…
Fractal Hypersurfaces, Wavelet Sets and Affine Weyl Groups
Peter Massopust
In these lecture notes we present connections between the theory of iterated function systems, in particular those attractors that are graphs of multivariate real-valued fractal fu…
Fractional Operators, Dirichlet Averages, and Splines
Peter Massopust
Fractional differential and integral operators, Dirichlet averages, and splines of complex order are three seemingly distinct mathematical subject areas addressing different questi…