The Fourier transform for nilpotent locally compact groups. I

The Fourier Transform for Locally Compact Abelian Groups

An introduction to locally compact abelian algebraic groups and the usage of dual groups and Fourier transforms to study them.

fixed point property for banach algebras associated to locally compact groups

در این پایان نامه به بررسی خاصیت نقطه ثابت و خاصیت نقطه ثابت برای نیم گروههای برگشت پذیر چپ روی بعضی جبرهای باناخ از جمله جبر فوریه و جبر فوریه استیلتیس پرداخته شده است. برای مثال بیان شده است که اگر گروه یک گروه فشرده موضعی با همسایگی فشرده برای عنصر همانی که تحت درونریختی ها پایاست باشد آنگاه جبر فوریه و جبر فوریه استیلتیس دارای خاصیت نقطه ثابت برای نیم گروه های برگشت پذیر چپ است اگر و تنها ا...

The Laplace Transform for Locally Compact Abelian Groups.

Locally Nilpotent Linear Groups

This article examines aspects of the theory of locally nilpotent linear groups. We also present a new classification result for locally nilpotent linear groups over an arbitrary field F. 1. Why Locally Nilpotent Linear Groups? Linear (matrix) groups are a commonly used concrete representation of groups. The first investigations of linear groups were undertaken in the second half of the 19th cen...

On component extensions locally compact abelian groups

Let $pounds$ be the category of locally compact abelian groups and $A,Cin pounds$. In this paper, we define component extensions of $A$ by $C$ and show that the set of all component extensions of $A$ by $C$ forms a subgroup of $Ext(C,A)$ whenever $A$ is a connected group. We establish conditions under which the component extensions split and determine LCA groups which are component projective. ...