Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |
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Page 1145
The Peter - Weyl Theorem 1.4 is basic to the theory of representations of compact groups . ... Then a representation R of G in X is a strongly continuous homomorphism g → R ( g ) of G into the group of bounded invertible linear ...
The Peter - Weyl Theorem 1.4 is basic to the theory of representations of compact groups . ... Then a representation R of G in X is a strongly continuous homomorphism g → R ( g ) of G into the group of bounded invertible linear ...
Page 1146
Any finite dimensional representation of a compact group G is a direct sum of irreducible representations . This theorem shows that in studying finite dimensional representations of a compact group G we may , without loss of generality ...
Any finite dimensional representation of a compact group G is a direct sum of irreducible representations . This theorem shows that in studying finite dimensional representations of a compact group G we may , without loss of generality ...
Page 1217
un ( e ) = u ( en en ) , ee B , n = 1 , 2 , n n A spectral representation of a Hilbert space H onto - Lz ( un ) relative to a self adjoint operator T in H is said to be an ordered representation of H relative to T. The measure u is ...
un ( e ) = u ( en en ) , ee B , n = 1 , 2 , n n A spectral representation of a Hilbert space H onto - Lz ( un ) relative to a self adjoint operator T in H is said to be an ordered representation of H relative to T. The measure u is ...
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