Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
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Publication:2626852
DOI10.1007/BF02790307zbMath0122.34802MaRDI QIDQ2626852
Publication date: 1962
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Related Items (63)
Stratified Whitney jets and tempered ultradistributions on the subanalytic site ⋮ Sur les ultra-distributions ⋮ Solvability of convolution operators ⋮ Estimates for Weierstrass division in ultradifferentiable classes ⋮ On hankel transforms of ultradistributions ⋮ Continuation of functionals on ultradifferentiable function spaces ⋮ On a class of selfadjoint operators in Krein space and their compact perturbations ⋮ Problèmes aux limites non homogenes. VII ⋮ Composition in ultradifferentiable classes ⋮ Microlocal quasianalyticity for distributions and ultradistributions. ⋮ Unified treatment of the Krätzel transformation for generalized functions ⋮ Ultradistributional boundary values of harmonic functions on the sphere ⋮ Lagrangian regularity of the electron magnetohydrodynamics flow on a bounded domain ⋮ Solutions of quasianalytic equations ⋮ Regularity of the geodesic flow of the incompressible Euler equations on a manifold ⋮ The distributional solutions of Kummer's differential equation ⋮ Unnamed Item ⋮ The Weinstein transform associated with a family of generalized distributions ⋮ Structure theorems for vector valued ultradistributions ⋮ A characterization of Markovian homogeneous multicomponent Gaussian fields ⋮ Monomialization of a quasianalytic morphism ⋮ Maximal inequalities, Fourier multipliers, Littlewood-Paley theorems, and approximations by entire analytic functions in weighted spaces ⋮ Holomorphic approximation of ultradifferentiable functions ⋮ The Jost-Lehmann-Dyson representation for a wide class of local fields ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings ⋮ On some generalizations of Gevrey classes ⋮ The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type ⋮ On the Fourier-Laplace transform of functionals on a space of infinitely differentiable functions on a convex compact ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations ⋮ Symmetrization of Distributions and Its Application ⋮ Characterizations of Ultradistributions with Compact Support and Decomposition by Support ⋮ Superposition in classes of ultradifferentiable functions ⋮ On quasianalytic local rings ⋮ A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain ⋮ The hankel transform of gevrey ultradistributions ⋮ Eigenspaces of the Laplacian ; integral representations and irreducibility ⋮ Gevrey and Analytic Convergence of Picard'S Successive Approximations ⋮ Operator-valued ultradistributions in the spectral theory ⋮ General function spaces. II: Inequalities of Plancherel-Polya-Nikol'skij- type, \(L_p\)-spaces of analytic functions, \(0<p\leq\infty\) ⋮ Quasianalytic Denjoy-Carleman classes and o-minimality ⋮ Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. I ⋮ Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. II ⋮ Quelques théorème de décomposition des ultradistributions ⋮ Spaces of anisotropic ultradifferentiable functions and local solvability for semilinear partial differential equations ⋮ Beitrag zum Divisionsproblem für Ultradistributionen und ein Fortsetzungssatz ⋮ On two questions of I. Colojoara and C. Foias ⋮ On the Siegel-Sternberg linearization theorem ⋮ Linear partial differential operators and generalized distributions ⋮ Invariant functions in Denjoy-Carleman classes ⋮ On the Laplace transorm of functionals on classes of infinitely differentiable functions ⋮ Espaces du type de Gevrey et problèmes aux limites pour diverses classes d'équations d'évolution ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions ⋮ Quasianalytic multiparameter perturbation of polynomials and normal matrices ⋮ The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings ⋮ Analytic extension of smooth functions ⋮ Unnamed Item ⋮ Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions ⋮ New Paley-Wiener theorems ⋮ Composite quasianalytic functions ⋮ On the continuous linear right inverse for convolution operators in spaces of ultradifferentiable functions ⋮ Tempered Ultradistributions as Boundary Values of Analytic Functions ⋮ Equivalence of stability properties for ultradifferentiable function classes
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