## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 77

Page 1163

Chang [ 1 ] and [ 2 )

Chang [ 1 ] and [ 2 )

**gives**related results dealing with the product of an arbitrary finite number of operators of Hilbert - Schmidt type . Nikovič [ 1 ]**gives**some results for a class of integral operators defined by requiring the ...Page 1306

The following table

The following table

**gives**the number of linearly independent solutions of ( 1-2 ) 0 0 square integrable at a or b when I ( 2 ) # 0 . There are four possibilities as shown by the discussion above . Number of linearly independent ...Page 1614

The method is applied by Titchmarsh to the case when q is a polynomial tk , but it can be generalized . A sequence of increasingly accurate asymptotic expressions can be obtained for the eigenvalues . A second order approximation

The method is applied by Titchmarsh to the case when q is a polynomial tk , but it can be generalized . A sequence of increasingly accurate asymptotic expressions can be obtained for the eigenvalues . A second order approximation

**gives**...### 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 | |

57 other sections not shown

### Other editions - View all

### Common terms and phrases

additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined 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 Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero