Properties of a Rubin's orthogonal function which is a linear combination of two inner functions

Properties of a Rubin's orthogonal function which is a linear combination of two inner functions
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Rubin 正交函数的性质,它是两个内部函数的线性组合

DOI:
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发表时间:
2002
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通讯作者:
Toru Watanabe
Toru Watanabe
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文献类型:
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作者:
T. Nakazi;Toru Watanabe

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称为Rudin(正交)函数,如果是H ~ 1中的函数,且的不同非负幂在H中正交.当是内部函数的倍数且(0)= 0时;是鲁丁函数。Sundberg和Bishop证明了鲁丁函数不一定是内函数的倍数。研究了两个内函数的线性组合或一个内函数的多项式的鲁丁函数。X
is called a Rudin's (orthogonal) function if is a function in H1 and the di erent nonnegative powers of are orthogonal in H. When is a multiple of an inner function and (0) = 0; is a Rudin's function. Sundberg and Bishop showed that a Rudin's function is not necessarily a multiple of an inner function. We study a Rudin's function which is a linear combination of two inner functions or a polynomial of an inner function. x