Interpolation Problems in CSL-Algebra ALG${\cal L}$

Quasi-interpolation in the Fourier algebra

We derive new convergence results for the Schoenberg operator and more general quasi-interpolation operators. In particular, we prove that natural conditions on the generator function imply convergence of these operators in the Fourier algebra A(Rd) = FL1(Rd) and in S0(R), a function space developed by the first author and often used in time-frequency analysis. As a simple yet very useful conse...

Multipliers in L* and Interpolation

Multivariable Interpolation Problems

L∞ algebra structures of Lie algebra deformations

In this paper,we will show how to kill the obstructions to Lie algebra deformations via a method which essentially embeds a Lie algebra into Strong homotopy Lie algebra or L∞ algebra. All such obstructions have been transfered to the revelvant L∞ algebras which contain only three terms.

Automatically Generating Algebra Problems

We propose computer-assisted techniques for helping with pedagogy in Algebra. In particular, given a proof problem p (of the form Left-hand-side-term = Righthand-side-term), we show how to automatically generate problems that are similar to p. We believe that such a tool can be used by teachers in making examinations where they need to test students on problems similar to what they taught in cl...