On the double series expansion of holomorphic functions

DOI10.1016/S0022-247X(02)00162-2zbMath1009.32001MaRDI QIDQ1849195

Keiko Fujita, Mitsuo Morimoto

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

holomorphic functionsLie ballanalytic functionalsFourier-Borel transformationgrowth behaviorhomogeneous harmonic polynomialsdouble series expansiondual Lie ball

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05) Holomorphic functions of several complex variables (32A10)

Related Items (2)

Polyharmonic functions of infinite order on annular regions ⋮ Polyharmonic Hardy spaces on the complexified annulus and error estimates of cubature formulas

Cites Work

• Analytic functionals on the Lie sphere
• A generalization of the Cauchy-Hua integral formula on the Lie ball
• Between Lie norm and dual Lie norm
• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• Entire eigenfunctions of the Laplacian of exponential type with respect to the Lie norm and the dual Lie norm
• Norms related to the Lie norm
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