## Linear Operators: Spectral operators |

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Page 2010

Q . E . D . 12 . Some Examples of

topic of

XVIII and many illustrations of such operators will be found in Chapters XIX and

XX ...

Q . E . D . 12 . Some Examples of

**Unbounded**Spectral Operators Although thetopic of

**unbounded**spectral operators will be treated in some detail in ChapterXVIII and many illustrations of such operators will be found in Chapters XIX and

XX ...

Page 2013

If { om } is a sequence of sets in Esatisfying ( 3 ) , then ( 9 ) Ap = lim Â ( 8 ) e ( ds )

, QED ( A ) , mom by Lemma 1 , and so the operator A is a type of

convolution . The preceding discussion may be summarized as follows .

If { om } is a sequence of sets in Esatisfying ( 3 ) , then ( 9 ) Ap = lim Â ( 8 ) e ( ds )

, QED ( A ) , mom by Lemma 1 , and so the operator A is a type of

**unbounded**convolution . The preceding discussion may be summarized as follows .

Page 2227

CHAPTER XVIII

the course of Chapters XII , XIII , and XIV that in order to apply the spectral theory

of Hermitian operators to ordinary and partial differential operators it is first ...

CHAPTER XVIII

**Unbounded**Spectral Operators 1 . Introduction It was shown inthe course of Chapters XII , XIII , and XIV that in order to apply the spectral theory

of Hermitian operators to ordinary and partial differential operators it is first ...

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