arXiv subjects

Peter R Massopust

Publications and source records attributed to Peter R Massopust.

2 recordsLinked to original sources

arXiv2021

Fractal Interpolation: From Global to Local, to Nonstationary and Quaternionic

We present an introduction to fractal interpolation beginning with a global set-up and then extending to a local, a non-stationary, and finally the novel quaternionic setting. Emphasis is placed on the overall perspective with references given to the more specific questions.

math.FA↗

arXiv2021

Interpolation and Sampling with Exponential Splines of Real Order

The existence of fundamental cardinal exponential B-splines of positive real order $σ$ is established subject to two conditions on $σ$ and their construction is implemented. A sampling result for these fundamental cardinal exponential B-splines is also presented.

math.FA↗