Analytic ultradistributions
نویسندگان
چکیده
منابع مشابه
Lorentz-covariant ultradistributions, hyperfunctions, and analytic functionals
We generalize the theory of Lorentz-covariant distributions to broader classes of functionals including ultradistributions, hyperfunctions, and analytic functionals with a tempered growth. We prove that Lorentz-covariant functionals with essential singularities can be decomposed into polynomial covariants and establish the possibility of the invariant decomposition of their carrier cones. We de...
متن کاملEigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions
In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold X. The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on X. This extends the result for analytic functions on compact manifold by Seeley [See69], and the characterisation of Gevrey functions and Gevrey u...
متن کاملWavelet transform of Beurling-Björck type ultradistributions
Wavelet analysis has been used for intrinsic characterizations of important function and distribution spaces ([10], [11]). Recently, the wavelet transform has been extended to distributions, and inversion formulae have been established in distribution setting by Pathak [13, 14], Pathak et al [16, 17, 18] and Pandey [12] using duality arguments. Wavelets of subexponential decay whose Fourier tra...
متن کاملInhomogeneous Gevrey Ultradistributions and Cauchy Problem
AMS Mathematics Subject Classification (2000): 46F05, 35E15, 35S05.
متن کاملBanach space valued ultradistributions and applications to abstract Cauchy problems
We define the convolution of Banach space valued ultradistributions in the sense of Braun, Meise, and Taylor. We then treat abstract Cauchy problems in Banach spaces as convolution equations and give a characterization of those problems that have ultradistributional fundamental solutions. Our characterization extends in the Beurling case a result due to H.A. Emamirad. We apply our result to dif...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1291792-9