6533b85bfe1ef96bd12bac41

RESEARCH PRODUCT

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

Pablo GalindoAndriy ZagorodnyukIrina Chernega

subject

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 spacesAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2012-11-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2012.04.087