Brown, Leon; Schreiber, Bertram M.; Taylor, B. Alan Spectral synthesis and the Pompeiu problem. (English) Zbl 0265.46044 Ann. Inst. Fourier 23, No. 3, 125-154 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 59 Documents MSC: 46F10 Operations with distributions and generalized functions 26B10 Implicit function theorems, Jacobians, transformations with several variables PDFBibTeX XMLCite \textit{L. Brown} et al., Ann. Inst. Fourier 23, No. 3, 125--154 (1973; Zbl 0265.46044) Full Text: DOI Numdam EuDML References: [1] [1] , and , A note on a problem of D. Pompeiu, Math. Zeitschr., 105 (1968), 59-61. · Zbl 0161.24704 [2] [2] , Sur un problème de M. Pompeiu, Mathematica (Timisoara), 23 (1948), 103-107. · Zbl 0031.01503 [3] [23] , On Regular Homotopy in Codimension One, Annals Math. 83 (1966), 257-265. · Zbl 0142.41105 [4] [4] , Fourier Series and Boundary Value Problems, 2nd ed., McGraw-Hill, New York, 1963. · Zbl 0115.05802 [5] [5] , Note sur une propriété nouvelle des fonctions harmoniques, C.R. Acad. Sci. Paris, 246 (1958), 1358-1360. · Zbl 0084.09403 [6] [6] , Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem, Notes by K.B. Vedak, Tata Institute of Fundamental Research, Bombay, 1961. [7] [7] , Fourier Analysis in Several Complex Variables, Interscience, Wiley, New York, 1970. · Zbl 0195.10401 [8] [8] , Uniform Algebras, Prentice-Hall, Englewood Cliffs, N.J., 1969. · Zbl 0213.40401 [9] [9] , Linear Partial Differential Operators, Grundl. der Math. Wiss., Band 116, Springer-Verlag and Academic Press, New York, 1963. · Zbl 0108.09301 [10] [10] , An Introduction to Complex Analysis in Several Variables, D. van Nostrand, New York, 1966. · Zbl 0138.06203 [11] [11] and , Closed ideals in locally convex algebras of analytic functions, J. Reine Angew. Math., 255 (1972), 190-209. · Zbl 0237.46052 [12] [12] , Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier (Grenoble), 6 (1955-1956), 271-355. · Zbl 0071.09002 [13] [13] , Sur une propriété des fonctions continues dépendent de plusieurs variables, Bull. Sci. Math. (2), 53 (1929), 328-332. · JFM 55.0138.04 [14] [14] , Sur une propriété intégrale des fonctions de deux variables réelles, Bull. Sci. Acad. Royale Belgique (5), 15 (1929), 265-269. · JFM 55.0139.01 [15] [15] , On a condition for analyticity, Sibirskii Mat. Zh., 11 (1970), 471-474. · Zbl 0203.07201 [16] [16] , Fourier Analysis on Groups, Interscience, Wiley, New York, 1962. · Zbl 0107.09603 [17] [17] , Théorie générale des fonctions moyennes-périodiques, Ann. of Math. (2), 48 (1947), 857-929. · Zbl 0030.15004 [18] [18] , Théorie des distributions, 2nd. ed., Act. Scient. et Indust., No. 1091, Hermann, Paris, 1957. · Zbl 0078.11003 [19] [19] , Analyticity and the Pompeiu problem, Arch. Rational Mech. Anal., 47 (1972), 237-254. · Zbl 0251.30047 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.