## Linear operators: Spectral operators |

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Page x

Even the much more general problem of Theorem XV.12.21 has the

defines its solution given by a fairly rapidly convergent series. The Cauchy initial

value problem is. in various forms, discussed briefly in all three parts of this ...

Even the much more general problem of Theorem XV.12.21 has the

**kernel**whichdefines its solution given by a fairly rapidly convergent series. The Cauchy initial

value problem is. in various forms, discussed briefly in all three parts of this ...

Page 2391

For use in what is to follow we record the formula for R(X; T) obtained in the proof

of Lemma 4 and also observe that in constructing the

we may replace the particular "second solution" o2(t, A) constructed in Lemma ...

For use in what is to follow we record the formula for R(X; T) obtained in the proof

of Lemma 4 and also observe that in constructing the

**kernel**R(s, t;X) in Lemma 4we may replace the particular "second solution" o2(t, A) constructed in Lemma ...

Page 2499

... H1-\- V where V is an integral operator with a smooth

which the Friedrichs similarity method of Section 2 is assumed to apply. Then, as

shown in Section 2, e'1"2 = (/ + r)~1eu"i(I + r), where r is a singular integral

operator ...

... H1-\- V where V is an integral operator with a smooth

**kernel**V(x, y), and inwhich the Friedrichs similarity method of Section 2 is assumed to apply. Then, as

shown in Section 2, e'1"2 = (/ + r)~1eu"i(I + r), where r is a singular integral

operator ...

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

47 other sections not shown

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