0000000001070819

AUTHOR

Irina Chernega

showing 1 related works from this author

The convolution operation on the spectra of algebras of symmetric analytic functions

2012

Abstract We show that the spectrum of the algebra of bounded symmetric analytic functions on l p , 1 ≤ p + ∞ with the symmetric convolution operation is a commutative semigroup with the cancellation law for which we discuss the existence of inverses. For p = 1 , a representation of the spectrum in terms of entire functions of exponential type is obtained which allows us to determine the invertible elements.

Discrete mathematicsPower sum symmetric polynomialTriple systemSpectra of algebrasApplied MathematicsSymmetric polynomialsStanley symmetric functionComplete homogeneous symmetric polynomialSymmetric convolutionSymmetric functionEntire functions of exponential typeElementary symmetric polynomialRing of symmetric functionsPolynomials and analytic functions on Banach spacesAnalysisMathematicsJournal of Mathematical Analysis and Applications
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