## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 77

Page 937

CHAPTER XI Miscellaneous Applications This chapter is devoted to applications

of the spectral

mathematics . Since these topics are not in the main stream of our interest we

shall ...

CHAPTER XI Miscellaneous Applications This chapter is devoted to applications

of the spectral

**theory**of normal operators to problems in a variety of fields ofmathematics . Since these topics are not in the main stream of our interest we

shall ...

Page 1583

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

the

, the “ spectral ”

decade ...

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 . However, the “ spectral ”

**theory**which they had discovered was to wait until the firstdecade ...

Page 1634

On the other hand , the ultrahyperbolic operator * ] and the puzzling operator [ * *

] are both well within the terra incognita of today ' s

the basic elementary expression ( 1 ) makes clear , the mere notation for partial ...

On the other hand , the ultrahyperbolic operator * ] and the puzzling operator [ * *

] are both well within the terra incognita of today ' s

**theory**. As the complexity ofthe basic elementary expression ( 1 ) makes clear , the mere notation for partial ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

37 other sections not shown

### Other editions - View all

### Common terms and phrases

additive 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 differential equations domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function 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 Proc 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