Calcul exponentiel des opérateurs microdifférentiel d'ordre infini. I

DOI10.5802/aif.947zbMath0495.58025OpenAlexW4248910787MaRDI QIDQ1169736

Takashi Aoki

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_4_227_0

zbMATH Keywords

invertibility for microdifferential operators of infinite ordersymbol calculus of microdifferential operators with exponential symbols

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Partial differential equations on manifolds; differential operators (58J99) Differential complexes (58J10) Relations of PDEs on manifolds with hyperfunctions (58J15) Analytic spaces (32C99) General topics in partial differential equations (35A99)

Related Items

The exponential calculus of microdifferential operators of infinite order. V, On a class of linear differential operators of infinite order with finite index, Quantized contact transformations and pseudodifferential operators of infinite order, Microlocalisation tempérée, A modification of \(\mathsf {WKB}\) method for fractional differential operators of Schrödinger's type, Non-local pseudo-differential operators, Existence and continuation of holomorphic solutions of differential equations of infinite order, A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders, On the exact WKB analysis of operators admitting infinitely many phases., Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation, SYMBOLS OF MINIMUM TYPE AND OF ZERO CLASS IN EXPONENTIAL CALCULUS, The exponential calculus of microdifferential operators of infinite order. III, The exponential calculus of microdifferential operators of infinite order. IV, Existence locale de solutions holomorphes pour les équations différentielles d'ordre infini, Microlocal energy methods and pseudo-differential operators, Calcul exponential des opérateurs microdifférentiels d'ordre infini. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear Differential equations of infinite order and theta functions
• Poisson's summation formula and Hamburger's theorem
• Micro-hyperbolic pseudo-differential operators. I
• Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe
• Micro-hyperbolic systems
• On holonomic systems of microdifferential equations. III: Systems with regular singularities
• The exponential calculus of microdifferential operators of infinite order. I, II
• Invertibility of microdifferential operators of infinite order
• The Lelong number of a point of a complex analytic set
• Fourier integral operators. I
• Opérateurs pseudo-différentiels analytiques et opérateurs d'ordre infini. (Analytic pseudo-differential operators and operators of infinite order.)