Lyons, T. J. Finely holomorphic functions. (English) Zbl 0459.46038 J. Funct. Anal. 37, 1-18 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 20 Documents MSC: 46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces 31C99 Generalizations of potential theory 31C15 Potentials and capacities on other spaces 46E27 Spaces of measures 30G30 Other generalizations of analytic functions (including abstract-valued functions) Keywords:finely holomorphic functions; finely harmonic functions; Vitushkin localization operators; Arens-Singer and Jensen measures PDFBibTeX XMLCite \textit{T. J. Lyons}, J. Funct. Anal. 37, 1--18 (1980; Zbl 0459.46038) Full Text: DOI References: [1] Bliedtner, J.; Hansen, W., Simplicial cones in potential theory II (approximation theorems), Invent. Math., 46, 255-275 (1978) · Zbl 0369.31005 [2] Debiard, A.; Gaveau, B., Potential fin et algèbres de fonctions analytiques, III, J. Functional Analysis, 21, 448-468 (1976), [Note the important correction in III to I and II] · Zbl 0317.31004 [3] Debiard, A.; Gaveau, B., Différentiabilité des fonctions finement harmoniques, Invent. Math., 29, 111-123 (1975) · Zbl 0312.31004 [4] Doleans-Dade, C.; Meyer, P. A., (Intégrales stochastiques par rapport aux martingales locales. Séminaire de probabilités IV. Intégrales stochastiques par rapport aux martingales locales. Séminaire de probabilités IV, Lecture Notes in Mathematics 124 (1970), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0211.21901 [5] Fuglede, B., Finely harmonic mappings and finely holomorphic functions, Ann. Acad. Sci. Fenn. Ser. A.I, 2, 113-127 (1976) · Zbl 0345.31008 [6] Fuglede, B., Asyptotic paths for subharmonic functions, Math. Ann., 213, 261-274 (1975) · Zbl 0283.31001 [7] Gamelin, T. W., Rational approximation theory, University of California at Los Angeles Course Notes for Math. 285G (Fall, 1975) [8] Gamelin, T. W., Uniform Algebras and Jensen Measures, (London Mathematical Society, Lecture Notes Series (1978), Cambridge Univ. Press: Cambridge Univ. Press London/New York) · Zbl 0418.46042 [9] Getoor, R. K.; Sharpe, M. J., Conformal martingales, Invent. Math., 16, 271-308 (1972) · Zbl 0268.60048 [10] Itô, K.; McKean, H. P., Diffusion Processes and their Sample Paths (1974), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York · Zbl 0285.60063 [11] Nguyen-Xuan-LocBull. Sci. Math.; Nguyen-Xuan-LocBull. Sci. Math. · Zbl 0404.60080 [12] Meyer, P. A., Probabilités et Potential (1966), Hermann et Cie: Hermann et Cie Paris · Zbl 0138.10402 [13] Sario, L.; Oikawa, K., Capacity Functions (1969), Springer: Springer Berlin/New York · Zbl 0184.10503 [14] Rudin, W., Functional Analysis (1973), McGraw-Hill: McGraw-Hill New York · Zbl 0253.46001 [15] Tsuji, M., Potential Theory in Modern Function Theory (1959), Maruzen: Maruzen Tokyo · Zbl 0087.28401 [16] Zalkman, L., Analytic Capacity and Rational Approximation, (Lecture Notes in Mathematics No. 50 (1968), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0171.03701 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.