## Linear Operators: Spectral theory |

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Page 1280

+ ag ( t ) , dt ( 1 ) - Σα ( 1 ) ) n such that the complex - valued functions aí ,

the coefficient functions , belong to Co ( I ) , and such that the function a ,,

the leading coefficient , is not zero at any point of I. If the coefficients of t are in Co

...

+ ag ( t ) , dt ( 1 ) - Σα ( 1 ) ) n such that the complex - valued functions aí ,

**called**the coefficient functions , belong to Co ( I ) , and such that the function a ,,

**called**the leading coefficient , is not zero at any point of I. If the coefficients of t are in Co

...

Page 1297

If Alf ) = 0 for each function in the domain of T ( t ) which vanishes in a

neighborhood of a , A will be

boundary value at b is defined similarly . By analogy with Definition XII.4.25 an

equation B ( 1 ) ...

If Alf ) = 0 for each function in the domain of T ( t ) which vanishes in a

neighborhood of a , A will be

**called**a boundary value at a . The concept of aboundary value at b is defined similarly . By analogy with Definition XII.4.25 an

equation B ( 1 ) ...

Page 1432

In this case , v is

, there is no singularity at all , and zero is

equation . If v = 1 , the singularity of equation [ * ] at zero is

In this case , v is

**called**the order of the singularity of equation [ * ] at zero . If v = 0, there is no singularity at all , and zero is

**called**a regular point of the differentialequation . If v = 1 , the singularity of equation [ * ] at zero is

**called**a regular ...### What people are saying - Write a review

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