The aim of this paper is to prove Heisenberg-Pauli-Weyl inequality for a fractional power of the Dunkl transform on the real line for which there is an index law and a Plancherel…
This course deepens the foundations of analysis begun in Real Analysis I. The first part treats Riemann integration (definition via upper/lower sums, Darboux’s Theorem, Riemann sums, and…
This course is an introduction to real analysis. It develops the real number system from the completeness axiom and builds the core tools of limits, continuity, differentiation, and integration.…
This course provides a rigorous and practical introduction to core topics in analysis and applied mathematics. We begin with the definition of the limit of a sequence and fundamental properties of…