Benedek, A.; Panzone, R. On convergence of orthogonal series of Bessel functions. (English) Zbl 0273.42013 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 27(1973), 507-525 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\) 34L99 Ordinary differential operators 41A30 Approximation by other special function classes PDF BibTeX XML Cite \textit{A. Benedek} and \textit{R. Panzone}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 27, 507--525 (1974; Zbl 0273.42013) Full Text: Numdam EuDML OpenURL References: [1] Benedek A. and Panzone R. , On mean convergence of Fourier-Bessel series of negative order , Studies in App. Math. Vol. 4 n^\circ 3 , ( 1971 ), 281 - 292 . MR 310535 | Zbl 0218.42012 · Zbl 0218.42012 [2] Benedek A. and Panzone R. , Mean convergence of Bessel and Dini series, Notices AMS , 18 , n0 6 , ( 1971 ), p. 951 (to appear Rev. UMA, vol. 26 , ( 1972 ))- [3] Muckenhoupt B. , Mean convergence of Hermite and Laguerre series, II , TAMS , 147 , ( 1970 ), 433 - 460 . MR 256051 | Zbl 0191.07602 · Zbl 0191.07602 [3] Titchmarsh , E.C. , Eigenfunction expansions I , Oxford , ( 1962 ). · Zbl 0099.05201 [4] Watson , G.N. , A treatise on the theory of Bessel functions , Cambridge , ( 1952 ). Zbl 0174.36202 · Zbl 0174.36202 [5] Wing , G.M. , The mean convergence of orthogonal series , Amer. J. of Math. , LXXII , ( 1950 ), 792 - 808 . MR 37923 | Zbl 0041.38515 · Zbl 0041.38515 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.