HARMONIC ANALYSIS, LIE GROUPS AND
REPRESENTATIONS
(1973-1984)

D. Gurarie, Yu. I. Lyubich,
An infinite dimensional analog of Lie's weight theorem,
Funct. Anal. and its Applications,
7, 1973, 34-36.

D. Gurarie, Existence of weights
for infinite dimensional representations of Lie algebras, Theory
of Functions, Funct. Anal. and their Applications, Kharkov,
18, 1974, 192-202 (Russian).

D. Gurarie, On separability of representation
spectrum for nilpotent Lie groups, Theory
of Functions, Funct. Anal. and their Applications, Kharkov,
22, 1975, 41-51 (Russian).

D. Gurarie, L. Vaksman, Algebras which
contain a compact operator, Funct. Anal. and its
Applications, 8, 1974, 340-341.

D. Gurarie, On Banach Lie algebras
with compact adjoint action, Soviet Mathematics,
Doklady, 217, 1974, 1154-1157.

D. Gurarie, L. Vaksman,
Banach Lie algebras with compact adjoint action, Theory
of Functions, Funct. Anal. and their Applications, Kharkov,
24, 1975, 16-30 (Russian).

D. Gurarie, Harmonic analysis based
on crossed product algebras and motion groups, Proceedings
of Symposium on harmonic analysis, Crete 1978, Lect.
Notes Math. 781, 1980, 59- 75.

D. Gurarie, Banach uniformly continuous
representations of Lie groups and algebras, J.
Funct. Anal., 35, 1980, 401-407

D. Gurarie, Burnside-type theorem
for Banach representations of crossed product algebras and motion groups,
1980 Seminar on Harmonic Analysis, CMS Conf. Proc.,
v. 1, AMS, 1980, 213- 244.

D. Gurarie, A transitive Banach
*-algebras of compact operators with no nontrivial projections, Integral
Eq-ns and Operator Theory, 6, 1983, 59-66.

D. Gurarie, Representations of compact
groups on Banach algebras, Trans. AMS,
285 No. 1, 1984, 1-55.