|
Wiener's Tauberian Theorem In $L^1(G//K)$ And Harmonic Functions In The Unit Disk
Author(s):
Y.
Ben
Natan;
Y.
Benyamini;
H.
Hedenmalm;
Y.
Weit
Journal:
Bull. Amer. Math. Soc.
32
(1995),
43-49.
MSC (1991):
Primary 43A90
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- [1]
- M.~G.~Agranovski{\u \i }, Tests for holomorphy in symmetric domains, Siberian Math. J. \textbf{22} (1981), 171--179.
- [2]
- A.~A.~Borichev and H.~Hedenmalm, Approximation in a class of Banach algebras of quasi- analytically smooth analytic functions, J. Funct. Anal. \textbf{115} (1993), 359--390.
- [3]
- Y.~Benyamini and Y.~Weit, Harmonic analysis of spherical functions on $SU(1,1)$, Ann. Inst. Fourier (Grenoble) \textbf{42} (1992), 671--694.
- [4]
- T.~Carleman, L'integrale de Fourier et questions qui s\RM 'y rattachent, Uppsala, Sweden, 1944.
- [5]
- Y.~Domar, On the analytic transform of bounded linear functionals on certain Banach algebras, Studia Math. \textbf{53} (1975), 429--440.
- [6]
- L.~Ehrenpreis and F.~I.~Mautner, Some properties of the Fourier transform on semi simple Lie groups. \rm I, Ann. of Math. (2) \textbf{61} (1955), 406--439.
- [7]
- L.~Ehrenpreis and F.~I.~Mautner, Some properties of the Fourier transform on semi simple Lie groups. \rm III, Trans. Amer. Math. Soc. \textbf{90} (1959), 431--484.
- [8]
- H.~Furstenberg, A Poisson formula for semi simple groups, Ann. of Math. (2) \textbf{77} (1963), 335--386.
- [9]
- H.~Furstenberg, \emph{Boundaries of Riemannian symmetric spaces}, Marcel Dekker Inc., New York, 1972 pp.~359--377.
- [10]
- H.~Hedenmalm, On the primary ideal structure at infinity for analytic Beurling algebras, Ark. Mat. \textbf{23} (1985), 129--158.
- [11]
- S.~Helgason, Groups and geometric analysis, Academic Press, New York, 1984.
- [12]
- M.~Kac, A remark on Wiener\RM 's Tauberian theorem, Proc. Amer. Math. Soc. \textbf{16} (1965), 1155--1157.
- [13]
- P.~Koosis, The logarithmic integral, Cambridge University Press, London, 1988.
- [14]
- S.~Lang, $SL_2(R)$, Addison-Wesley, Reading, MA, 1975.
- [15]
- N.~N.~Lebedev, Special functions and their applications, Prentice-Hall, Englewood Cliffs, NJ, 1965.
- [16]
- H.~Leptin, Ideal theory in group algebras of locally compact groups, Invent. Math. \textbf{31} (1976), 259--278.
- [17]
- W.~Magnus, F.~Oberhettinger, and R.~P.~Rosi, Formulas and theorems for the special functions of mathematical physics, Springer-Verlag, New York, 1966.
- [18]
- A.~P.~Prudnikov, Yu.~A.~Brychkov, and O.~I.~Marichev, Integrals and series, Gordon and Breach, New York, 1990 .
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1991):
43A90
Retrieve articles in all Journals with MSC
(1991):
43A90
Additional Information:
DOI:
10.1090/S0273-0979-1995-00554-9
PII:
S 0273-0979(1995)00554-9
|