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L. Bers, F. John and M. Schechter, ``Partial differential equations'' in Lectures in applied mathematics, Vol. III, Interscience, New York, 1964. MR 0163043 (29:346)

[2]

R. J. Blattner, On induced representations, Amer. J. Math. 83 (1961), 79-98. MR 0125456 (23:A2757)

[3]

F. Browder, Real analytic functions on product spaces and separate analyticity, Canad. J. Math. 13 (1961), 650-656. MR 0132395 (24:A2240)

[4]

F. Bruhat, Sur les représentations induites des groupes de Lie, Bull. Soc. Math. France 84 (1956), 97-205. MR 0084713 (18:907i)

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P. Cartier, Représentations des groupes de Lie, Séminaire Bourbaki #96 (1954); reprint, Benjamin, New York, 1967.

[6]

N. Dunford and J. Schwartz, Linear operators, Vol. II, Interscience, New York, 1963. MR 0188745 (32:6181)

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R. Godement, A theory of spherical functions. I, Trans. Amer. Math. Soc. 73 (1952), 496-556. MR 0052444 (14:620c)

[8]

I. Gelfand and M. Naimark, Unitary representations of the group of linear transformations of the straight line, Dokl. Akad. Nauk SSSR 55 (1947), 567-570. MR 0020559 (8:563c)

[9]

R. Goodman, Analytic domination by fractional powers of a positive operator, J. Functional Analysis 3 (1969), 246-264. MR 0239444 (39:801)

[10]

S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962. MR 0145455 (26:2986)

[11]

E. Hille, Contributions to the theory of Hermitian series. II. The representation problem, Trans. Amer. Math. Soc. 47 (1940), 80-94. MR 0000871 (1:142a)

[12]

G. Hochschild, The structure of Lie groups, Holden-Day, San Francisco, Calif., 1965. MR 0207883 (34:7696)

[13]

Y. Katznelson, An introduction to harmonic analysis, Wiley, New York, 1968. MR 0248482 (40:1734)

[14]

R. Kunze and I. E. Segal, Integrals and operators, McGraw-Hill, New York, 1968. MR 0217244 (36:335)

[15]

N. N. Lebedev, Sur une formule d'inversion, Dokl. Akad. Nauk SSSR 52 (1946), 655-658.

[16]

G. W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. 55 (1952), 101-139. MR 0044536 (13:434a)

[17]

W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and theorems for the special functions of mathematical physics, Springer, New York, 1966. MR 0232968 (38:1291)

[18]

R. T. Moore, Measurable, continuous, and smooth vectors for semigroups and group representations, Mem. Amer. Math. Soc. No. 78, 1968. MR 0229091 (37:4669)

[19]

M. A. Naimark, Linear representations of the Lorentz groups, Macmillan, New York, 1964. MR 0170977 (30:1211)

[20]

E. Nelson, Analytic vectors, Ann. of Math. 70 (1959), 572-615. MR 0107176 (21:5901)

[21]

E. Nelson and W. F. Stinespring, Representation of elliptic operators in an enveloping algebra, Amer. J. Math. 81 (1959), 547-560. MR 0110024 (22:907)

[22]

R. E. A. C. Paley and N. Wiener, Fourier transforms in the complex domain, Amer. Math. Soc. Colloq. Publ., Vol. 19, Amer. Math. Soc., Providence, R. I., 1934; reprinted 1967. MR 1451142 (98a:01023)

[23]

G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis. I, Springer, Berlin, 1954.

[24]

L. Pukanszky, Leçons sur les représentations des groupes, Dunod, Paris, 1967. MR 0217220 (36:311)

[25]

I. E. Segal and J. von Neumann, A theorem on unitary representations of semi-simple Lie groups, Ann. of Math. 52 (1950), 509-517. MR 0037309 (12:242a)

[26]

T. Sherman, A weight theory for unitary representations, Canad. J. Math. 18 (1966), 159-168. MR 0193189 (33:1410)

[27]

I. M. Singer, Uniformly continuous representations of Lie groups, Ann. of Math. 56 (1952), 242-247. MR 0049201 (14:135a)

[28]

E. M. Stein, Analytic continuation of group representations, Lectures, Yale University, 1967. MR 0466418 (57:6298)

[29]

E. C. Titchmarsh, Eigenfunction expansions, Part I, 2nd ed., Oxford Univ. Press, Oxford, 1962. MR 0176151 (31:426)