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Line bundles and harmonic analysis on compact groups. (English) Zbl 0299.43008


MSC:

43A75 Harmonic analysis on specific compact groups
55R25 Sphere bundles and vector bundles in algebraic topology
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References:

[1] Dunkl, C.F., Ramirez, D.E.: Topics in Harmonic Analysis. New York: Appleton-Century-Crofts 1971 · Zbl 0227.43001
[2] Grothendieck, A., Dieudonné, J.A.: Eléments de Géométrie Algébrique I. Berlin-Heidelberg-New York: Springer 1971
[3] Gunning, R.C.: Lectures on Riemann Surfaces. Princeton: Princeton University Press 1966 · Zbl 0175.36801
[4] Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis II. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0213.40103
[5] Hirzebruch, F.: Topological methods in Algebraic Geometry. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0138.42001
[6] Hofmann, K.H.: Categories with convergence, exponential functors, and the cohomology of compact abelian groups, Math. Z.104, 106-140 (1968) · Zbl 0153.34101 · doi:10.1007/BF01109874
[7] Katznelson, Y.: An introduction to Harmonic Analysis. New York-London-Sydney-Toronto: John Wiley and Sons 1968 · Zbl 0169.17902
[8] MacLane, S.: Homology. Berlin-Heidelberg-New York: Springer 1963 · Zbl 0133.26502
[9] Parthasarathy, K.R.: Multipliers on locally compact groups. Lecture Notes in Mathematics 93. Berlin-Heidelberg-New York: Springer 1969 · Zbl 0188.20202
[10] Selesnick, S.A.: Watts cohomology for a class of Banach algebras and the duality of compact abelian groups. Math. Z.130, 313-323 (1973) · Zbl 0246.43014 · doi:10.1007/BF01179159
[11] Steenrod, N.: The topology of fibre bundles. Princeton: Princeton University Press 1951 · Zbl 0054.07103
[12] Varadarajan, V.S.: Geometry of Quantum Theory II. New York: van Nostrand-Rheinhold 1970 · Zbl 0194.28802
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