Real Analytic Generalized Functions

2007/02/26 by Pilipović, S., Scarpalezos, D., Valmorin, V.
#35A10 #35A27 #46F20 #46F30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/0702794

Abstract

Real analytic generalized functions are investigated as well as the analytic singular support and analytic wave front of a generalized function in G(Ω) are introduced and described.

Related

• Fourier Theory on the Complex Plane V: Arbitrary-Parity Real Functions, Singular Generalized Functions and Locally Non-Integrable Functions
• Explicit analytic functions defining the images of wave-front singularities
• Hyper-power series and generalized real analytic functions
• Generalized analytic functions on generalized domains
• Some Properties of a Class of Analytic Functions defined by Generalized Struve Functions