## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Results 1-3 of 74

Page 1976

DE SES Then for every bounded Borel scalar function y defined on the spectrum

o ( A ) , the

- essentially bounded E - measurable function of s . The

DE SES Then for every bounded Borel scalar function y defined on the spectrum

o ( A ) , the

**integral**JO ( A ) Jo L ' O ( A ) JO ( A ) ( ii ) 0 ( A ) E ( d1 ; Â ( 8 ) ) is an e- essentially bounded E - measurable function of s . The

**integral**( ii ) SE ( 0 ; Â ...Page 1990

Here , we shall first be concerned with certain special examples of convolutions

which map H into H , which belong to the algebra A , and which have an

representation in one of the two forms ( 18 ) ( f * q ) ( s ) = p ( 8 – t ) f ( t ) dt , QEH ...

Here , we shall first be concerned with certain special examples of convolutions

which map H into H , which belong to the algebra A , and which have an

**integral**representation in one of the two forms ( 18 ) ( f * q ) ( s ) = p ( 8 – t ) f ( t ) dt , QEH ...

Page 1991

This observation enables us to define the

preceding remarks show that x * f is 1 - integrable and since * * f ( t ) ^ ( dt ) | = 1x

* | suplf ( t ) / v ( d ; RN ) , RN the

Since H ...

This observation enables us to define the

**integral**( 21 ) à ( s ) ... 2 * in H * , thepreceding remarks show that x * f is 1 - integrable and since * * f ( t ) ^ ( dt ) | = 1x

* | suplf ( t ) / v ( d ; RN ) , RN the

**integral**x * f ( t ) a ( dt ) is continuous in x * .Since H ...

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