A fundamental theorem of dyadic calculus for the unit square

Abstract

We obtain a fundamental theorem of calculus for the two-dimensional dyadic derivative.

Keywords:

• Dyadic calculus Walsh polynomials
• Walsh-Fejer kernels

AMS(MOS)::

• 43A99

¹On sabbatical leave form Eötvös Loránd University, Budapest, Hungary

²This research supported in part by a National Science Foundation grant INT-8620153

¹On sabbatical leave form Eötvös Loránd University, Budapest, Hungary

²This research supported in part by a National Science Foundation grant INT-8620153

Notes

¹On sabbatical leave form Eötvös Loránd University, Budapest, Hungary

²This research supported in part by a National Science Foundation grant INT-8620153