#### 221 Citations

An algebra of generalized functions on an open interval; two-sided operational calculus

- Mathematics
- 1971

Let £2 be an open subinterval of the real line; suppose that OEQ. The purpose of this announcement is to describe an injection of L(fi) into a commutative algebra of operators. The injection is a… Expand

Characterization of Finite/Fixed-time Stability of Evolution Inclusions

- Mathematics, Computer Science
- 2019 IEEE 58th Conference on Decision and Control (CDC)
- 2019

Characterizations (necessary and sufficient con-ditions) of finite-time and fixed-time stability of evolution inclusions in Banach spaces are presented in terms of Lyapunov functionals.

Simplification and Strengthening of Weyl's Definition of Asymptotic Equal Distribution of Two Families of Finite Sets

- Mathematics
- 2003

Suppose that 1 < a < b < 1, au1nu2n � ··· � unnb, and av1nv2n � ··· � vnnb, n � 1. We simplify and strenghthen Weyl's definition of asymptotic equal distribution of U = {{uin} n=1}n�1 and V = {{vin}… Expand

Derivatives: Why They Elude Classification

- Mathematics
- 1976

The purpose of this article is to examine, in the specific case of the class of derivatives, a problem that often arises when one studies a class of functions. The problem is that of characterizing… Expand

Service in a Loop System

- Computer Science
- JACM
- 1972

Two related measures of the grade of service are considered: the average queue length and the average v i r tua l wai t ing t ime at each s ta t ion. Expand

Space-filling Curves ReMittal

- 2013

A 'continuous curve' in the plane is usually defined as the path traced by a moving point (x (t), Y (t)) as t runs over an interval of the real line, where x(-) and y(.) are continuous functions. The… Expand

Improvement paths in strategic games : A topological approach

- 2010

An abstract theory of improvement dynamics for binary relations in metric spaces is developed, providing a general framework for studying various improvement relations and tâtonnement processes in… Expand

ON FUNCTIONS WITH SUMMABLE

- 2010

Let « be a positive integer and F a function defined on a closed interval /. For x in /, let the «th approximate Peano derivative of F at x, if it exists, be denoted as F,nJx). For n = 1, the… Expand

Maximizing a Binary Relation on Compact Subsets

- Mathematics
- 2006

The sets of maximal elements of a binary relation on compact subsets of a metric space deflne a choice function. Possibilities to characterize natural properties of the choice function (path… Expand

Circle Extensions of Zd-Rotations on the d-Dimensional Torus

- Mathematics
- 2000

Let T be an ergodic and free Z-rotation on the d-dimensional torus T given by T (m1,...,md)(z1, ..., zd) = (e1ddz1, ..., e d1dddzd), where (m1, ..., md) ∈ Z, (z1, ..., zd) ∈ T and [αjk]j,k=1...d ∈… Expand