太空
发表于 2025-3-23 12:36:58
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Metamorphosis
发表于 2025-3-23 16:55:24
978-981-15-6227-3Hindustan Book Agency 2020 and Springer Nature Singapore Pte Ltd 2020
Discrete
发表于 2025-3-23 18:01:29
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机密
发表于 2025-3-23 22:20:01
Texts and Readings in Mathematicshttp://image.papertrans.cn/s/image/873874.jpg
Enervate
发表于 2025-3-24 03:31:16
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健壮
发表于 2025-3-24 09:24:33
The Hahn-Hellinger Theorem,In this chapter we define spectral measure on a complex separable Hilbert space and state and prove the key theorem due to Hahn and Hellinger which describes such measures concretely and provides a complete invariant for unitary equivalence of two spectral measures.
悬挂
发表于 2025-3-24 10:47:32
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Exonerate
发表于 2025-3-24 18:41:52
Symmetry and Denseness of the Spectrum,In this chapter we prove two properties of the spectrum of the unitary operator associated with an aperiodic non-singular automorphism, viz., that it is symmetric and fills the entire unit circle. We also discuss the spectrum of such an operator multiplied by a unitary function.
分散
发表于 2025-3-24 21:44:44
Multiplicity and Rank,The rank of a measure preserving automorphism . is greater than or equal to the spectral multiplicity of .. This is true for a class of non-singular automorphisms as well.
fabricate
发表于 2025-3-25 03:04:15
The Skew Product,In this chapter we will discuss the idea of skew product in its ‘simplest’ form. It is a very useful method, due to Anzai, of constructing new automorphisms from known ones.