Eine Bemerkung über irrationale Werte und Nichtfortsetzbarkeit von Potenzreihen mit ganzzahligen Koeffizienten
Einige Sätze über nichtfortsetzbare Potenzreihen.
Exemples de fonctions à espaces lacunaires
Extending analyticK-subanalytic functions
Letg:U→ℝ (U open in ℝn) be an analytic and K-subanalytic (i. e. definable in ℝanK, whereK, the field of exponents, is any subfield ofℝ) function. Then the set of points, denoted Σ, whereg does not admit an analytic extension is K-subanalytic andg can be extended analytically to a neighbourhood of Ū.
Harmonic functions satisfying weighted sign conditions on the boundary
Integral representation of a solution of Heun's general equation.
Laurent expansions for certain functions defined by Dirichlet series.
Linear Kierst-Szpilrajn theorems
We prove the following result which extends in a somewhat "linear" sense a theorem by Kierst and Szpilrajn and which holds on many "natural" spaces of holomorphic functions in the open unit disk 𝔻: There exist a dense linear manifold and a closed infinite-dimensional linear manifold of holomorphic functions in 𝔻 whose domain of holomorphy is 𝔻 except for the null function. The existence of a dense linear manifold of noncontinuable functions is also shown in any domain for its full space of holomorphic...
Monodromic differential equations and Riemann theta functions.
Noncontinuable power series
Null Sets and Analytic Continuation.
On analytic continuation and functional equation of certain Dirichlet series.
On analytic continuation of summability transforms.
On certain Euler products
On domains of monogenicity in Clifford analysis
On folding solutions of the Beltrami equation.
On small divisors
On the Analytic Continuation of Rank One Eisenstein Series.
On the asymptotic boundary paths of analytic functions.
On the Partial Fraction Expansion for 0 (x).