作者: 斷言 時間: 2025-3-21 21:26
Distributions and Hyperfunctions on a Manifoldrtant aspect of how we define distributions, often called . after the pioneering text [De Rham, 1955], on a . manifold is the distinction made necessary by the orientation, or lack thereof, of the manifold.作者: 大方不好 時間: 2025-3-22 01:43 作者: commensurate 時間: 2025-3-22 05:06 作者: 拔出 時間: 2025-3-22 12:22 作者: archenemy 時間: 2025-3-22 13:01
0072-7830 lysis such as the FBI transform and pseudodifferential operaThis book provides a coherent, self-contained introduction to central topics of?.Analytic Partial Differential Equations.?in the natural geometric setting. The main themes are the analysis in phase-space of analytic PDEs and the Fourier–Bro作者: Amnesty 時間: 2025-3-22 19:08 作者: BAN 時間: 2025-3-23 00:00 作者: GLIB 時間: 2025-3-23 02:42 作者: pancreas 時間: 2025-3-23 09:12
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: SOB 時間: 2025-3-23 11:17 作者: penance 時間: 2025-3-23 16:21 作者: debble 時間: 2025-3-23 21:30
Examples of Two-Dimensional Systems,rtant aspect of how we define distributions, often called . after the pioneering text [De Rham, 1955], on a . manifold is the distinction made necessary by the orientation, or lack thereof, of the manifold.作者: Innocence 時間: 2025-3-23 23:43 作者: CHOIR 時間: 2025-3-24 02:45
Development of DQEM Irregular Elements, The purpose of this chapter is to present the Lojasiewicz proof that analytic varieties admit . partitions made of (embedded) analytic submanifolds with special properties of adherences (including the so-called .).作者: Intruder 時間: 2025-3-24 08:36 作者: Enteropathic 時間: 2025-3-24 11:36
Distributions and Hyperfunctions on a Manifoldrtant aspect of how we define distributions, often called . after the pioneering text [De Rham, 1955], on a . manifold is the distinction made necessary by the orientation, or lack thereof, of the manifold.作者: CUMB 時間: 2025-3-24 17:43 作者: itinerary 時間: 2025-3-24 22:38 作者: 培養(yǎng) 時間: 2025-3-25 00:27
Polyhedral Surfaces of High GenusThis chapter is devoted to introducing the most basic notation, terminology and definitions related to the function classes constantly used in the book.作者: 蛤肉 時間: 2025-3-25 04:42
Rajan Chattamvelli,Ramalingam ShanmugamIn the first section of this chapterwe transition from functions to generalized functions of the most commonly used kind, the . in an open subset Ω of ., the elements of the complex vector space . (Ω).作者: Mediocre 時間: 2025-3-25 09:46 作者: 禮節(jié) 時間: 2025-3-25 12:33 作者: Anecdote 時間: 2025-3-25 18:44
Greedy Randomized Adaptive Search ProcedureThe bulk of this chapter is devoted to the fundamental theorem in analytic PDE theory and one of the most important mathematical discoveries of the XIXth century: that 作者: 不遵守 時間: 2025-3-25 23:43
Data Mining in Heuristic SearchThe aim, in Part II of this book, is to describe, in as simple terms as the author was able to, the theory of . in .. Hyperfunctions, introduced by M. Sato in the late 1950s, are the “generalized functions” naturally suited to the study of analytic PDEs.作者: 慢跑鞋 時間: 2025-3-26 04:10
Data Mining in Heuristic SearchHyperfunctions are defined in real space ., where analytic functionals are localizable, i.e., have a uniquely defined support (Corollary 6.3.12).作者: 群島 時間: 2025-3-26 05:54
Manuel Lozano,Francisco J. RodríguezHyperdifferential operators act on analytic functionals in . and decrease their carriers; as a consequence, they act on hyperfunctions in domains in . and decrease their supports.作者: 彩色 時間: 2025-3-26 10:47 作者: Nerve-Block 時間: 2025-3-26 16:12
https://doi.org/10.1007/978-3-030-95092-7The first section of this chapter is a primer on symplectic algebra and geometry in Euclidean spaces, real or complex. Concepts and results are extended to manifolds in Section 13.3 and revolve around the Darboux Theorem 13.3.20, which asserts the existence of local Darboux coordinates in an arbitrary symplectic manifold.作者: BINGE 時間: 2025-3-26 18:09 作者: Excitotoxin 時間: 2025-3-27 00:19 作者: 驚呼 時間: 2025-3-27 01:41
Distributions in Euclidean SpaceIn the first section of this chapterwe transition from functions to generalized functions of the most commonly used kind, the . in an open subset Ω of ., the elements of the complex vector space . (Ω).作者: 只有 時間: 2025-3-27 07:42
Analytic Tools in Distribution TheoryThis chapter is the true introduction, at a level as elementary as possible, to the core of the book. In the first section the reader will find the needed definitions and basic results that can be translated to the . category from the last section of the preceding chapter.作者: Folklore 時間: 2025-3-27 12:12
Analyticity of Solutions of Linear PDEs. Basic ResultsIn the late 1930s I.G. Petrowski proved that all classical solutions of a linear PDE with constant coefficients are analytic if and only if the equation is . (he extended this result to a class of systems of linear PDEs with constant coefficients).作者: 可耕種 時間: 2025-3-27 17:32
The Cauchy–Kovalevskaya TheoremThe bulk of this chapter is devoted to the fundamental theorem in analytic PDE theory and one of the most important mathematical discoveries of the XIXth century: that 作者: 玩笑 時間: 2025-3-27 20:21 作者: Contend 時間: 2025-3-28 01:51
Hyperfunctions in Euclidean SpaceHyperfunctions are defined in real space ., where analytic functionals are localizable, i.e., have a uniquely defined support (Corollary 6.3.12).作者: 無價值 時間: 2025-3-28 05:34
Hyperdifferential OperatorsHyperdifferential operators act on analytic functionals in . and decrease their carriers; as a consequence, they act on hyperfunctions in domains in . and decrease their supports.作者: 死亡 時間: 2025-3-28 06:55
Elements of Differential GeometryThe purpose of this chapter is to recall a number of basic definitions in differential geometry needed for the transition from analysis in Euclidean phase-space Ω × . to analysis in the cotangent bundle of a . manifold ..作者: Audiometry 時間: 2025-3-28 13:30
Elements of Symplectic GeometryThe first section of this chapter is a primer on symplectic algebra and geometry in Euclidean spaces, real or complex. Concepts and results are extended to manifolds in Section 13.3 and revolve around the Darboux Theorem 13.3.20, which asserts the existence of local Darboux coordinates in an arbitrary symplectic manifold.作者: 刺穿 時間: 2025-3-28 15:50 作者: corpuscle 時間: 2025-3-28 19:45
Fran?ois TrevesA self-contained introduction to the analysis of solutions of partial differential equations on manifolds.Introduces tools of microlocal analysis such as the FBI transform and pseudodifferential opera作者: 未成熟 時間: 2025-3-29 01:08 作者: 驚惶 時間: 2025-3-29 06:23
https://doi.org/10.1007/3-540-36776-4ny mathematicians, to start with, by the initiator of the theory, M. Sato and his school (see [Sato-Kawai-Kashiwara, 1973], [Morimoto, 1973]). We have strived to keep the exposition as elementary as feasible.作者: Electrolysis 時間: 2025-3-29 10:42
Examples of Two-Dimensional Systems,rtant aspect of how we define distributions, often called . after the pioneering text [De Rham, 1955], on a . manifold is the distinction made necessary by the orientation, or lack thereof, of the manifold.作者: 慷慨不好 時間: 2025-3-29 14:46 作者: DENT 時間: 2025-3-29 15:49 作者: 谷類 時間: 2025-3-29 23:20
10樓作者: emulsify 時間: 2025-3-30 02:12
10樓作者: 圍裙 時間: 2025-3-30 05:13
10樓作者: Heretical 時間: 2025-3-30 10:59
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