Eigenfunction expansions in ℝⁿ
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Publication:3104457
DOI10.1090/S0002-9939-2011-11022-0zbMath1231.35133OpenAlexW1836537803MaRDI QIDQ3104457
Todor Gramchev, Stevan Pilipović, Luigi Rodino
Publication date: 13 December 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/proc/2011-139-12/S0002-9939-2011-11022-0/home.html
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items (15)
Global hypoellipticity for first-order operators on closed smooth manifolds ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions in \(\mathbb R^n\) ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III: Hilbert spaces and universality ⋮ Semigroups for quadratic evolution equations acting on Shubin–Sobolev and Gelfand–Shilov spaces ⋮ Decompositions of Gelfand-Shilov kernels into kernels of similar class ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations ⋮ The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces ⋮ Images of function and distribution spaces under the Bargmann transform ⋮ Infinite order \(\Psi\mathrm{DOs}\): composition with entire functions, new Shubin-Sobolev spaces, and index theorem ⋮ Infinite Order Pseudo-Differential Operators ⋮ The Weyl product on quasi-Banach modulation spaces ⋮ Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces ⋮ Perturbations of globally hypoelliptic operators on closed manifolds ⋮ Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions ⋮ Time-periodic Gelfand-Shilov spaces and global hypoellipticity on \(\mathbb{T}\times\mathbb{R}^n\)
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- Regularity theorems for fractional powers of a linear elliptic operator
- Integro-Differential Operators on Vector Bundles
- Eigenfunction Expansions of Analytic Functions
- A proof of Kotaké and Narasimhan's theorem
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