## Linear Operators: Spectral operators |

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Page 1976

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

spectrum o ( A ) , the

e - essentially bounded E - measurable function of s . The

) e ...

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

spectrum o ( A ) , the

**integral**( ii ) pla ) E ( d ) ; Â ( s ) ) JO ( A ) in e - es meas is ane - essentially bounded E - measurable function of s . The

**integral**( iii ) | Elo ; Â ( )) e ...

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 * ° ) ( 8 ) = S918 — 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 * ° ) ( 8 ) = S918 — t ) f ( t ) dt , QEH

...

Page 1991

For an H valued function f , bounded and continuous on RN , and a functional x *

in H * , the preceding remarks show that x * f is d - integrable and since * * f ( t ) ^ (

dt ) = | x * | sup / f ( t ) \ v ( ; RN ) , RN the

For an H valued function f , bounded and continuous on RN , and a functional x *

in H * , the preceding remarks show that x * f is d - integrable and since * * f ( t ) ^ (

dt ) = | x * | sup / f ( t ) \ v ( ; RN ) , RN the

**integral**x * f ( t ) ^ ( dt ) is continuous in ...### What people are saying - Write a review

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