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@article{BUMI_2003_8_6B_3_a14, author = {Belhadj, M. and Betancor, J. J.}, title = {Entire elliptic {Hankel} convolution equations}, journal = {Bollettino della Unione matematica italiana}, pages = {717--737}, publisher = {mathdoc}, volume = {Ser. 8, 6B}, number = {3}, year = {2003}, zbl = {1179.46036}, mrnumber = {695127}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a14/} }
TY - JOUR AU - Belhadj, M. AU - Betancor, J. J. TI - Entire elliptic Hankel convolution equations JO - Bollettino della Unione matematica italiana PY - 2003 SP - 717 EP - 737 VL - 6B IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a14/ LA - en ID - BUMI_2003_8_6B_3_a14 ER -
Belhadj, M.; Betancor, J. J. Entire elliptic Hankel convolution equations. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 717-737. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a14/
[1] Bessel-Transformationen in Räumen von Grundfunktionen über dem Intervall $\Omega = (0,+\infty)$ und deren Dualraumen, Math. Nachr., 108 (1982), 197-218. | MR | Zbl
,[2] Hankel convolution operators on entire functions and distributions, J. Math. Anal. Appl., 276 (2002), 40-63. | MR | Zbl
- ,[3] Multipliers of Hankel transformable generalized functions, Comment. Math. Univ. Carolinae, 33 (3) (1992), 389-401. | fulltext mini-dml | MR | Zbl
- ,[4] The Hankel convolution and the Zemanian spaces $\beta_\mu$ and $\beta'_\mu$, Math. Nachr., 160 (1993), 277-298. | MR | Zbl
- ,[5] Structure and convergence in certain spaces of distributions and the generalized Hankel convolution, Math. Japonica, 38 (6) (1993), 1141-1155. | MR | Zbl
- ,[6] Some properties of Hankel convolution operators, Canad. Math. Bull., 36 (4) (1993), 398-406. | MR | Zbl
- ,[7] On the topology of the space of Hankel convolution operators, J. Math. Anal. Appl., 201 (1996), 994-1001. | MR | Zbl
- ,[8] Hankel convolution on distribution spaces with exponential growth, Studia Math., 121 (1) (1996), 35-52. | fulltext mini-dml | MR | Zbl
- ,[9] On Hankel convolution equations in distribution spaces, Rocky Mountain J. Math., 29 (1) (1999), 93-114. | fulltext mini-dml | MR | Zbl
- ,[10] A Hankel Convolution Complex Inversion Theory, Mem. Amer. Math. Soc., 58 (1965). | MR | Zbl
,[11] Generalized Fock spaces and associated operators, SIAM J. Math. Anal., 15 (1) (1984), 177-202. | MR | Zbl
,[12] Some results on Hankel invariant distribution spaces, Proc. Kon. Ned. Akad. van Wetensch. A, 86 (1) (1983), 77-87. | MR | Zbl
- ,[13] The Hankel transformation and spaces of $W$-type, Reports on Appl. and Numer. Analysis, 10, Dept. of Maths. and Comp. Sci., Eindhoven Univ. of Tech. (1988).
- ,[14] Solution of some problem of division, Part IV. Invertible and elliptic operators, Amer. J. Maths., 82 (1960), 522-588. | MR | Zbl
,[15] Tables of integral transforms, II, McGraw Hill, New York, 1953.
,[16] Operators with dense, invariant, cyclic vector manifolds, J. Functional Anal., 98 (1991), 229-269. | MR | Zbl
- ,[17] Integral equations associated with Hankel convolutions, Trans. Amer. Math. Soc., 116 (1965), 330-375. | MR | Zbl
,[18] On the mean inversion of Fourier and Hankel transforms, Proc. Nat. Acad. Sci. USA, 40 (1954), 996-999. | MR | Zbl
,[19] Variation diminishing Hankel transforms, J. Analyse Math., 8 (1960/61), 307-336. | MR | Zbl
,[20] Topological Vector Spaces and Distributions, I, Addison-Wesley, Reading, Massachusetts (1966). | MR | Zbl
,[21] Hankel convolution of generalized functions, Rendiconti di Matematica, 15 (1995), 351-380. | MR | Zbl
- ,[22] Theorie des distributions, Hermann, Paris, 1978. | MR | Zbl
,[23] A generalized Hankel convolution, SIAM J. Appl. Math., 16 (1985), 1335-1346. | MR | Zbl
,[24] Transformation intégrale de Weyl et théorème de Paley-Wiener associés à un opérateur différentiel singulier sur $(0, \infty)$, J. Math. Pures Appl., 60 (9) (1981), 51-98. | MR | Zbl
,[25] A treatise on the theory of Bessel functions, Cambridge University Press, Cambridge, 1959. | Jbk 48.0412.02 | MR | Zbl
,[26] A distributional Hankel transformation, SIAM J. Appl. Math., 14 (1966), 561-576. | MR | Zbl
,[27] The Hankel transformations of certain distributions of rapid growth, J. SIAM Appl. Math., 14 (4) (1966), 678-690. | MR | Zbl
,[28] Generalized integral transformations, Interscience Publishers, New York, 1968. | MR | Zbl
,[29] Hypoelliptic and entire elliptic convolution equations in subspaces of the spaces of distributions (I), Studia Math., 28 (1967), 317-332. | fulltext mini-dml | MR | Zbl
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