A Condition for Analytic Continuability

An analytic condition for P ⊂ NP

In this paper, we prove that there exists some condition, involving real functions, which implies P 6= NP .

A COMMUTATIVITY CONDITION FOR RINGS

In this paper, we use the structure theory to prove an analog to a well-known theorem of Herstein as follows: Let R be a ring with center C such that for all x,y ? R either [x,y]= 0 or x-x [x,y]? C for some non negative integer n= n(x,y) dependingon x and y. Then R is commutative.

A Necessary Condition for Weyl-Heisenberg Frames

A Blaschke-type Condition for Analytic and Subharmonic Functions and Application to Contraction Operators

Abstract. Let E be a closed set on the unit circle. We find a Blaschke-type condition, optimal in a sense of the order, on the Riesz measure of a subharmonic function v in the unit disk with a certain growth at the direction of E. In particular case when E is a finite set, and v = log |f | with an analytic function f , our result agrees with the recent one by A. Borichev, L. Golinskii and S. Ku...

A necessary condition in the monodromy problem for analytic differential equations on the plane

In this paper we give a very easy to compute necessary condition in the monodromy problem for all singular point of analytic differential systems in the real plane. Our main tool is considering the analytic function, angular speed, and studying its limit through straight lines to the singular point. 2000 AMS Subject Classification: 34C05, 34C20, 34C35, 58F21