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Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients
point perturbation bounded variation asymptotics of orthogonal polynomials
2010/12/1
We present the construction of a probability measure d with compact support on R such that adding a discrete pure point results in changes in the recursion coecients without expo-
nential decay.
An asymptotic equivalence between two frame perturbation theorems
asymptotic equivalence two frame perturbation theorems
2010/12/3
In this paper, two stability results regarding exponential frames are compared.The theorems, (one proven herein, and the other in [3]), each give a constant such that if supn∈Z kenk¥ < C, and (eih...
Perturbation of Closed Range Operators
Hilbert space perturbation Hyers--Ulam stability closed operator semi-Fredholm operator
2010/2/25
Let T, A be operators with domains D(T) \subseteq D(A) in a normed space X. The operator A is called T-bounded if |Ax|\leq a|x|+b|Tx| for some a, b\geq 0 and all x \in D(T). If A has the Hyers--Ulam s...
On the structure of systematic perturbation theory with unstable fields
perturbation theory unstable fields
2010/11/2
Discussed is the structure of non-trivial counterterms that occur in the systematic gauge-invariant perturbation theory with unstable fields introduced in [hep-ph/9802307].