Oscillatory singular integrals and harmonic analysis on nilpotent groups | Zendy

Fulvio Ricci | Zendy; E. M. Stein | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Oscillatory singular integrals and harmonic analysis on nilpotent groups

Author(s) -

Fulvio Ricci,

E. M. Stein

Publication year - 1986

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.83.1.1

Subject(s) - nilpotent , mathematics , automorphism , pure mathematics , context (archaeology) , exponential function , harmonic , lie group , lie algebra , singular integral , algebra over a field , mathematical analysis , physics , integral equation , quantum mechanics , paleontology , biology

Several related classes of operators on nilpotent Lie groups are considered. These operators involve the following features: (i ) oscillatory factors that are exponentials of imaginary polynomials, (ii ) convolutions with singular kernels supported on lower-dimensional submanifolds, (iii ) validity in the general context not requiring the existence of dilations that are automorphisms.

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