Riesz Representation Theorem for G-Integrable Distributions

• Main Author: Gealone, Aries
• Format: text
• Published: Archīum Ateneo 2020
• Subjects: Riesz representation theorem, Henstock integral.
• Online Access: https://archium.ateneo.edu/theses-dissertations/532
• Institution: Ateneo De Manila University

Let the set of functions defined on R with support contained in [a, b] and has deriva- tives of all orders be denoted by D(a, b). Let the space of continuous linear functionals (distributions) defined on D(a, b) be denoted by D0 (a, b). In the sense of distribution, every distribution has a prim...