Linear Operators: Spectral theory |
From inside the book
Results 1-3 of 6
Page 1411
... ( s ' ( t ) ) ' b ' ( t ) ( s ' ( t ) ) − 1b ' ( t ) = } [ q ( t ) −1 / 2p ( t ) 1/2 ] it follows that b ( p ( t ) q ( t ) ) ' _p ( t ) 1 / 2q ( t ) 3 / 2_ [ * \ 2B ′ ( s ) + ( B ( s ) ) 2 | ds = √ , \ 2 ( s ′ ( t ) ) − 1b ′ ( t ) b a ...
... ( s ' ( t ) ) ' b ' ( t ) ( s ' ( t ) ) − 1b ' ( t ) = } [ q ( t ) −1 / 2p ( t ) 1/2 ] it follows that b ( p ( t ) q ( t ) ) ' _p ( t ) 1 / 2q ( t ) 3 / 2_ [ * \ 2B ′ ( s ) + ( B ( s ) ) 2 | ds = √ , \ 2 ( s ′ ( t ) ) − 1b ′ ( t ) b a ...
Page 1885
... ba ( S , Σ ) ( 240 ) f ( T ) ( 557 ) , ( 568 ) , ( 601 ) , ( 1196 ) ba ( S , Σ , X ) ( 160 ) fg ( 633 ) , ( 951 ) bs ( 240 ) f ( 951 ) bv ( 239 ) F. ( f . g ) ( 1287 ) bro ( 239 ) F ( T ) ( 1287 ) B ( 895 ) || F || ( 4 ) ( 1663 ) B ( S ) ...
... ba ( S , Σ ) ( 240 ) f ( T ) ( 557 ) , ( 568 ) , ( 601 ) , ( 1196 ) ba ( S , Σ , X ) ( 160 ) fg ( 633 ) , ( 951 ) bs ( 240 ) f ( 951 ) bv ( 239 ) F. ( f . g ) ( 1287 ) bro ( 239 ) F ( T ) ( 1287 ) B ( 895 ) || F || ( 4 ) ( 1663 ) B ( S ) ...
Page 1893
... S. , 233 Lebesgue , H. , 80 , 124 , 132 , 143 , 151 , 218 , 232 , 234 , 390 Lefschetz , S. , 47 , 467 Legendre , A. M. , 1512 Leja , F. , 79 Lengyel , B. A. , 927 , 928 , 929 Leray , J. , 84 , 470 , 609 Levi , B. , 373 Levinson , N ...
... S. , 233 Lebesgue , H. , 80 , 124 , 132 , 143 , 151 , 218 , 232 , 234 , 390 Lefschetz , S. , 47 , 467 Legendre , A. M. , 1512 Leja , F. , 79 Lengyel , B. A. , 927 , 928 , 929 Leray , J. , 84 , 470 , 609 Levi , B. , 373 Levinson , N ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
Copyright | |
45 other sections not shown
Other editions - View all
Common terms and phrases
A₁ adjoint extension adjoint operator algebra analytic B-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure coefficients compact operator complex numbers continuous function converges Corollary countably deficiency indices Definition denote dense eigenfunctions eigenvalues element equation essential spectrum Exercise exists f₁ finite dimensional follows from Lemma follows from Theorem formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator homomorphism identity inequality infinity integral interval kernel L₁ L₁(R L₂ L₂(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm operators in Hilbert orthogonal Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence shows solution spectral set spectral theorem square-integrable subset subspace Suppose T₁ T₂ theory To(t topology tr(T transform uniformly unique unitary vanishes vector zero