A spectral mapping theorem for some representations of compact abelian groups

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Spectral Mapping Theorem for Representations of One-parameter Groups

In this paper we present some generalization (at the same time a new and a short proof in the Banach algebra context) of the Weak Spectral Mapping Theorem (WSMT) for non-quasianalytic representations of oneparameter groups.

متن کامل

A note on spectral mapping theorem

This paper aims to present the well-known spectral mapping theorem for multi-variable functions.

متن کامل

A Freiman-type theorem for locally compact abelian groups

— Suppose that G is a locally compact abelian group with a Haar measure μ. The δ-ball Bδ of a continuous translation invariant pseudo-metric is called d-dimensional if μ(B2δ′ ) 6 2μ(Bδ′ ) for all δ′ ⊂ (0, δ]. We show that if A is a compact symmetric neighborhood of the identity with μ(nA) 6 ndμ(A) for all n > d log d, then A is contained in an O(d log d)-dimensional ball, B, of positive radius ...

متن کامل

A generalized sampling theorem for locally compact abelian groups

We present a sampling theorem for locally compact abelian groups. The sampling sets are finite unions of cosets of a closed subgroup. This generalizes the well-known case of non-equidistant but periodic sampling on the real line. For non-bandlimited functions an L1-type estimate for the aliasing error is given. We discuss the application of the theorem to a class of sampling sets in Rs; give a ...

متن کامل

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. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society

سال: 1992

ISSN: 0013-0915,1464-3839

DOI: 10.1017/s0013091500005319