Holomorphic generalized functions
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Publication:1058111
DOI10.1016/0022-247X(84)90162-8zbMath0564.46031OpenAlexW2001051988MaRDI QIDQ1058111
José E. Galé, J. François Colombeau
Publication date: 1984
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(84)90162-8
Operations with distributions and generalized functions (46F10) Infinite-dimensional holomorphy (46G20) Analytic continuation of functions of one complex variable (30B40)
Related Items (18)
On the \({\bar\partial}\)-Neumann problem for generalized functions ⋮ Global representatives of Colombeau holomorphic generalized functions ⋮ Analytic continuation of generalized functions ⋮ Some properties of holomorphic generalized functions on \(C^ \infty\)-strictly pseudoconvex domains ⋮ Further results on Colombeau product of distributions ⋮ Hyper-power series and generalized real analytic functions ⋮ Examples of new nonstandard hulls of topological vector spaces ⋮ Intrinsic definition of the Colombeau algebra of generalized functions ⋮ An approach to generalized holomorphic functions ⋮ Suppleness of the sheaf of algebras of generalized functions on manifolds ⋮ Harmonic generalized functions in generalized function algebras ⋮ Conservation laws with discontinuous coefficients ⋮ Convergence of numerical schemes involving powers of the Dirac delta function ⋮ Real analytic generalized functions ⋮ Full and Special Colombeau Algebras ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory ⋮ A nonlinear theory of generalized functions ⋮ Generalized hyperfunctions and algebra of megafunctions
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