## Linear Operators: Spectral theory |

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Page 950

Instead of restricting our consideration to the case of the additive group of real

numbers , we shall discuss the case of a locally

denote by R. We assume throughout that R is o -

Instead of restricting our consideration to the case of the additive group of real

numbers , we shall discuss the case of a locally

**compact**Abelian group which wedenote by R. We assume throughout that R is o -

**compact**, i.e. , the union of ...Page 1150

ence of Haar measure on a locally

remarked in the text , the development presented in this section is valid for a

general non - discrete locally

there are ...

ence of Haar measure on a locally

**compact**, o -**compact**Abelian group . Asremarked in the text , the development presented in this section is valid for a

general non - discrete locally

**compact**, o -**compact**Abelian group . However ,there are ...

Page 1331

To complete the proof it is therefore sufficient to show that every integral operator

in L2 ( I ) defined by a kernel K with || K || 2 = $ JS , \ K ( t , 8 ) / 2 dsdt < 00 is

To complete the proof it is therefore sufficient to show that every integral operator

in L2 ( I ) defined by a kernel K with || K || 2 = $ JS , \ K ( t , 8 ) / 2 dsdt < 00 is

**compact**. This is a special case of Exercise VI.9.52 , but , for the sake of ...### What people are saying - Write a review

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