Analysis on compact groups
In this chapter, we take up a number of special topics in harmonic analysis on compact groups. Section 34 deals with the algebra of absolutely convergent Fourier series, an entity about which a good deal although far from everything is known. Sections 35 and 36 are a detailed treatment of multipliers for various classes of Fourier transforms on compact groups; some facts about locally compact Abelian groups are obtained as well. In § 37, we study lacunary Fourier transforms, again on compact groups, and in § 38, ideal theory for certain convolution algebras of functions on compact groups.
KeywordsCompact Group Left Ideal Compact Abelian Group Dual Object Convolution Algebra
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