Linear Operators: Spectral theory |
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Page 963
unique exten asion is dentro L2 ( Mo , B to multiplying the corresponding function
tf in L ( M ) by the characteristic function of the set e . Similarly , convolution in L (
R ) corresponds to pointwise multiplication in L2 ( M . ) . 9 THEOREM .
unique exten asion is dentro L2 ( Mo , B to multiplying the corresponding function
tf in L ( M ) by the characteristic function of the set e . Similarly , convolution in L (
R ) corresponds to pointwise multiplication in L2 ( M . ) . 9 THEOREM .
Page 1250
Finally we show that the decomposition T = PA of the theorem is unique . ... Since
A is unique , P is uniquely determined on R ( A ) by the equation of P ( Ax ) = Tx .
Further the extension of P by continuity from R ( A ) to R ( A ) is unique . Since P ...
Finally we show that the decomposition T = PA of the theorem is unique . ... Since
A is unique , P is uniquely determined on R ( A ) by the equation of P ( Ax ) = Tx .
Further the extension of P by continuity from R ( A ) to R ( A ) is unique . Since P ...
Page 1513
Let Ft be the unique solution of the equation with these same regular singularities
and exponents which has the form 2 - 2 ( 1 + x + . . . ) near z = 0 . Then , since F ,
and Ft together comprise a basis for the solutions of our equation , we have a ...
Let Ft be the unique solution of the equation with these same regular singularities
and exponents which has the form 2 - 2 ( 1 + x + . . . ) near z = 0 . Then , since F ,
and Ft together comprise a basis for the solutions of our equation , we have a ...
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Contents
IX | 859 |
Eigenvalues and Eigenvectors | 903 |
Spectral Representation | 911 |
Copyright | |
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