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On the Spectral Analysis of Direct Sums of Riemann-Liouville Operators in Sobolev Spaces of Vector Functions

✍ Scribed by I. Yu. Domanov; M. M. Malamud


Publisher
SP Birkhäuser Verlag Basel
Year
2009
Tongue
English
Weight
469 KB
Volume
63
Category
Article
ISSN
0378-620X

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On the Matrix Spectral Function of a Gen
✍ Matthias Weber 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 623 KB

The existence of a unique 71 x n matrix spectral function is shown for a selfadjoint operator A in a Hilbert space Lg(m). This Hilbert space is a subspace of the product of spaces L2(rn;) with measures rn,, i = 1 , . . . , n , having support i n [O,m). The inner product in Li(m) is the weighted sum