Classical Lebesgue Integration Theorems for the Riemann Integral
This paper has been withdrawn due to an error, and no further revisions will be made.
math.HO↗
arXiv subjects
Josh Isralowitz
Publications and source records attributed to Josh Isralowitz.
Strange Integrals Derived By Elementary Complex Analysis
In this short note, we provide an elementary complex analytic method for converting known real integrals into numerous strange and interesting looking real integrals.
math.HO↗
A Characterization of Norm Compactness in the Bochner Space $L^p (G ; B)$ For an Arbitrary Locally Compact Group $G$
In this paper, we generalize a result of N. Dinculeanu which characterizes norm compactness in the Bochner space $L^p(G ; B)$ in terms of an approximate identity and translation operators, where $G$ is a locally compact abelian group and $B$ is a Banach space. Our characterization includes the case where $G$ is nonabelian, and we weaken the hypotheses on the approximate identity used, providing new results even for the case $B = \mathbb{C}$ and $G = \mathbb{R}^n.$
math.FA↗