Some examples in harmonic analysis
B. Johnson (1973)
Studia Mathematica
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B. Johnson (1973)
Studia Mathematica
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S. Simić (1979)
Matematički Vesnik
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Petrunin, Anton (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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S. Hartman (1975)
Colloquium Mathematicae
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Lin, En-Bing (2010)
Journal of Inequalities and Applications [electronic only]
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B. Bojarski, T. Iwaniec (1987)
Banach Center Publications
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Ilkka Holopainen, Seppo Rickman (1992)
Revista Matemática Iberoamericana
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A. Calderón, A. Zygmund (1964)
Studia Mathematica
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Tapanidis, T., Tsagas, Gr., Mazumdar, H.P. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Ewa Ligocka (1999)
Annales Polonici Mathematici
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We study series expansions for harmonic functions analogous to Hartogs series for holomorphic functions. We apply them to study conjugate harmonic functions and the space of square integrable harmonic functions.
Jevtić, M. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Wen Sheng Wang (1995)
Revista Matemática Iberoamericana
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In any C domain, there is nonzero harmonic function C continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.