اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدBiorthogonal systems on unit interval and zeta dilation operators
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تأليف
Dorje C Brody
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An elementary quantum-mechanical derivation of the conditions for a system of functions to form a Reisz basis of a Hilbert space on a finite interval is presented.
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Let $Z_n(s; a_1,..., a_n)$ be the Epstein zeta function defined as the meromorphic continuation of the function sum_{kinZ^nsetminus{0}}(sum_{i=1}^n [a_i k_i]^2)^{-s}, text{Re} s>frac{n}{2} to the complex plane. We show that for fixed $s eq n/2$
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