## Linear Operators: Spectral theory |

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Page 1505

If Lf = 0 is a differential equation with rational coefficients and a regular singularity

Z , with exponents e , and ex , then the

by t ' ( x ) = ( 2 - % o ) " } ( 2 ) has rational coefficients also . The operator L ' has ...

If Lf = 0 is a differential equation with rational coefficients and a regular singularity

Z , with exponents e , and ex , then the

**second order**equation L ' f ' = 0 satisfiedby t ' ( x ) = ( 2 - % o ) " } ( 2 ) has rational coefficients also . The operator L ' has ...

Page 1816

J . Math . 75 , 229 - 240 ( 1953 ) . 3 . The Lg - solutions of linear differential

equations of

Unrestricted solution fields of almost separable differential equations . Trans .

Amer . Math . Soc .

J . Math . 75 , 229 - 240 ( 1953 ) . 3 . The Lg - solutions of linear differential

equations of

**second order**. Duke Math . J . 14 , 323 – 326 ( 1947 ) . 4 .Unrestricted solution fields of almost separable differential equations . Trans .

Amer . Math . Soc .

Page 1834

Nelson Dunford, Jacob T. Schwartz. 3 . On the detection of the oscillation of a

On self - adjoint differential equations of

Nelson Dunford, Jacob T. Schwartz. 3 . On the detection of the oscillation of a

**second order**linear differential equation . Duke Math . J . 17 , 57 - 62 ( 1950 ) . 4 .On self - adjoint differential equations of

**second order**. J . London Math . Soc .### What people are saying - Write a review

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

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### Common terms and phrases

additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently consider 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 multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero