Must the Growth Rate Decline? Baumol's Unbalanced Growth Revisited

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Entrepreneurship and structural economic transformation (2008, background): “This does not imply that our results are inconsistent with that of Baumol (1967), since Oulton (2001) has shown that when services are provided as intermediate inputs Baumol’s result will not hold. not just in one or a few of the developed countries but rather in virtually every single leading…”
De-industrialisation and the balance of payments in advanced economies (2004, unknown): “Oulton (2001) presents a more optimistic view of the potential for productivity growth in services.”
Productivity and Structural Change: A Review of the Literature (2008, background): “…structural change can only be explained if the demand for services is income elastic in addition to the differences in productivity growth.12 Moreover, Oulton (2001) shows that Baumol’s (1967) stagnation result crucially depends on the assumption that the stagnant industries produce final products.”
Structural Change in a Multi-Sector Model of Growth (2007, unknown): “and so, ṅi ni − ṅj nj = (1− ε) μ ṗi pi − ṗj pj ¶ ∀i, j 6= m (17)”
Services Trade and Policy (2010, background): “For example, Oulton (2001) has shown that this may increase overall growth, because greater outsourcing of services by (productive) firms in nonstagnant sectors entails a reallocation of factors that increase overall output and aggregate productivity.”