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Point mass insertion on the real line and non‐exponential perturbation of the recursion coefficients
Author(s) -
Wong Manwah Lilian
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200910270
Subject(s) - recursion (computer science) , mathematics , exponential function , real line , perturbation (astronomy) , exponential type , measure (data warehouse) , exponential decay , line (geometry) , mathematical analysis , combinatorics , pure mathematics , physics , geometry , algorithm , quantum mechanics , database , computer science
We present the construction of a probability measure d γ with compact support on \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}$\end{document} such that adding a discrete pure point results in changes in the recursion coefficients without exponential decay.