Harmonic Analysis and H 2 -Functions on Siegel Domains of Type II | Zendy

Robert D. Ogden | Zendy; Stephen Vági | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Harmonic Analysis and H ² -Functions on Siegel Domains of Type II

Author(s) -

Robert D. Ogden,

Stephen Vági

Publication year - 1972

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.69.1.11

Subject(s) - mathematics , pure mathematics , lie group , group (periodic table) , type (biology) , simply connected space , kernel (algebra) , nilpotent , domain (mathematical analysis) , harmonic function , fourier transform , boundary (topology) , unitary state , mathematical analysis , algebra over a field , physics , quantum mechanics , ecology , political science , law , biology

It is known that the distinguished boundary of a Siegel domain of type II can be identified with a simply connected nilpotent Lie group of step two. The Plancherel formula for this group and the irreducible unitary representations which enter into that formula are determined. The H2 -space of the domain and its Szegö kernel are characterized in terms of the harmonic analysis of the above group, in particular, the integral representations for H2 -functions due to Gindikin and Korányi-Stein are shown to be instances of the Fourier inversion formula.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research