Introduction To Complex Analysis In Several Variables

By K. Baumgartner. 2016

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Basic Complex Analysis: A Comprehensive Course in Analysis, Part 2A (2015, background): “There is a pedagogical discussion in Scheidemann [502].”
The openness conjecture and complex Brunn-Minkowski inequalities (2014, background): “This weighted Poincaré inequality is actually a real varia ble version of Hörmander’s ([16])L(2)-estimate for thē∂-equation, cf [8].”
Wick Rotation and the Positivity of Energy in Quantum Field Theory (2021, background): “The essential tool is Bochner’s ‘tube theorem’ ([5] Thm 2.”
A solution of an L 2 extension problem with an optimal estimate and applications (2015, methodology): “In this subsection, we recall some lemmas on L2 estimates for some ∂̄ equations (for general cases, see [32], [53], etc.”
Equidistribution problems of complex dynamics in higher dimension (2016, methodology): “We refer the reader to [13, 54, 71] for basic notions and results of pluripotential theory and to [77] for Hodge theory.”
EXPECTED TOPOLOGY OF RANDOM REAL ALGEBRAIC SUBMANIFOLDS (2013, neutral): “From the L(2)estimates of Hörmander, see [17] or [21], there exists a global section τ of EbLd such that B̄τ “ B̄σ and }τ}L2phE,dq ď }B̄σ}L2phE,dq for d large enough.”