Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
The completeness of the generalized eigenfunction system of the transport operator for a nonhomogeneous convex medium |
| Συγγραφείς: |
Xu, Genqi, Yang, Mingzhu, Wang, Shenghua |
| Στοιχεία εκδότη: |
Science Press, Beijing |
| Θεματικοί όροι: |
transport semigroup, completeness, relative convergent method, (Generalized) eigenfunction expansions of linear operators, rigged Hilbert spaces, transport operator, generalized eigenfunction system, nonhomogeneous convex medium |
| Περιγραφή: |
Summary: The completeness of the generalized eigenfunction system of the transport operator for a nonhomogeneous convex medium is discussed. By terms of the relative convergent method we recreate, we give a complete characterization for the problem of the completeness of the generalized eigenfunction system of the transport operator. We show that if \(0\in P_\sigma(E(t))\), where \(\{E(t)\}_{t\geq 0}\) is the transport semigroup, then the generalized eigenfunction system of the transport operator is not complete, if \(0\not\in P_\sigma(E(t))\), then the generalized eigenfunction system is complete if and only if it satisfies the condition of relative convergence. |
| Τύπος εγγράφου: |
Article |
| Περιγραφή αρχείου: |
application/xml |
| Σύνδεσμος πρόσβασης: |
https://zbmath.org/1094120 |
| Αριθμός Καταχώρησης: |
edsair.c2b0b933574d..95593cc4d7a47c38c3c778a2a84da456 |
| Βάση Δεδομένων: |
OpenAIRE |