## Linear Operators, Part 2 |

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Page 937

CHAPTER XI Miscellaneous Applications This chapter is devoted to applications of the spectral

CHAPTER XI Miscellaneous Applications This chapter is devoted to applications of the spectral

**theory**of normal operators to problems in a variety of fields ...Page 1583

The researches of Sturm and Liouville were followed by a great deal of work in the

The researches of Sturm and Liouville were followed by a great deal of work in the

**theory**of special functions , which we shall briefly touch upon later .Page 1634

On the other hand , the ultrahyperbolic operator [ * ] and the puzzling operator [ ** ] are both well within the terra incognita of today's

On the other hand , the ultrahyperbolic operator [ * ] and the puzzling operator [ ** ] are both well within the terra incognita of today's

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero