In this paper we will construct an operator-valued distribution that will extend Feynman’s operational calculus in the setting of Jefferies and Johnson, 2001–2003, and Johnson–Lapidus–Nielsen, 2014, from the disentangling of holomorphic functions of several variables to the disentangling of Schwartz functions on R. It will be shown that the disentangled operator corresponding to a Schwartz func...

A few months after Jack Schwartz’s death on March 2, 2009, a memorial gathering was held for him at the Courant Institute of New York University, his home base for almost fifty years. The well-planned program included a few piano pieces and almost a dozen speakers, each of whom had collaborated with Jack in one or more of his many activities. Those present would have heard the speakers talk about:

Motivated by applications in combinatorial geometry, we consider the following question: Let $\lambda=(\lambda_1,\lambda_2,\ldots,\lambda_m)$ be an $m$-partition of a positive integer $n$, $S_i \subseteq \mathbb{C}^{\lambda_i}$ finite sets, and let $S:=S_1 \times S_2 \cdots S_m \subset \mathbb{C}^n$ multigrid defined $S_i$. Suppose $p$ is $n$-variate degree $d$ polynomial. How many zeros does h...

Kolkata’s premier cancer center, welcomed a distinguished visitor, Professor Robert A. Schwartz, on December 13, 2015 [Figure 1]. The institute was formally inaugurated by Professor Madam J. Curie in 1950 and is a cancer treatment facility with faculty also active in basic and clinical research. Professor Schwartz was received by Professor Jaydip Biswas MBBS, MS, FRCS Edin, FACS, who is Institu...