Aragona, Jorge Some results on holomorphic generalized functions. (English) Zbl 1222.33019 Integral Transforms Spec. Funct. 22, No. 4-5, 263-268 (2011). A result that hold for classical holomorphic functions, has been extended to a result for holomorhic generalized functions. One can refer to the reference of this paper to find a detailed concept of holomorphic generalized functions. The author is concerned with the full algebra of Colombeau generalized functions. Reviewer: P. K. Banerji (Jodhpur) MSC: 33E99 Other special functions 33C55 Spherical harmonics 44A99 Integral transforms, operational calculus 46F30 Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) Keywords:generalized functions; holomorphic generalized functions PDFBibTeX XMLCite \textit{J. Aragona}, Integral Transforms Spec. Funct. 22, No. 4--5, 263--268 (2011; Zbl 1222.33019) Full Text: DOI References: [1] DOI: 10.1006/jmaa.1993.1411 · Zbl 0816.46027 · doi:10.1006/jmaa.1993.1411 [2] DOI: 10.1112/plms/s3-53.3.474 · Zbl 0652.35014 · doi:10.1112/plms/s3-53.3.474 [3] DOI: 10.1007/BF01906598 · Zbl 0765.46019 · doi:10.1007/BF01906598 [4] DOI: 10.1007/BF01952480 · Zbl 0662.46047 · doi:10.1007/BF01952480 [5] DOI: 10.1007/BF02838327 · Zbl 0214.10001 · doi:10.1007/BF02838327 [6] DOI: 10.1007/s002220050110 · Zbl 0869.58051 · doi:10.1007/s002220050110 [7] DOI: 10.1007/s00605-006-0393-9 · Zbl 1115.46034 · doi:10.1007/s00605-006-0393-9 [8] DOI: 10.1007/s00605-006-0416-6 · Zbl 1132.46031 · doi:10.1007/s00605-006-0416-6 [9] DOI: 10.1007/s00605-008-0524-6 · Zbl 1175.46033 · doi:10.1007/s00605-008-0524-6 [10] Rudin, W. 1978. ”Real and Complex Analysis”. New Delhi TMH Edition · Zbl 0954.26001 [11] Vernaeve, H. ”Generalized analytic functions on generalized domains”. Available athttp://arxiv.org/pdf/0811.1521 · Zbl 1140.46020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.