Function Theory on Manifolds Which Possess a Pole

Greene, R. E.

Function Theory on Manifolds Which Possess a Pole [electronic resource] / by R. E. Greene, H. Wu. - IV, 218 p. online resource. - Lecture Notes in Mathematics, 699 0075-8434 ; . - Lecture Notes in Mathematics, 699 .

Preliminaries -- The Hessian comparison theorem -- Sub-mean-value theorem for subharmonic functions -- Quasi-isometry of the exponential map and the absence of positive harmonic functions -- New criterion of hyperbolicity -- Bounded exhaustion functions and a new class of hyperbolic Kähler manifolds -- A digression -- The Bergman metric -- Manifolds biholomorphic to ?n.

9783540355366

10.1007/BFb0063413 doi


Functional equations.
Functional analysis.
Difference and Functional Equations.
Functional Analysis.

QA431

515.625 515.75
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