標(biāo)題: Titlebook: Elliptic Theory and Noncommutative Geometry; Nonlocal Elliptic Op Vladimir E. Nazaikinskii,Anton Yu. Savin,Boris Yu. Book 2008 Birkh?user B [打印本頁(yè)] 作者: Tamoxifen 時(shí)間: 2025-3-21 16:55
書目名稱Elliptic Theory and Noncommutative Geometry影響因子(影響力)
書目名稱Elliptic Theory and Noncommutative Geometry影響因子(影響力)學(xué)科排名
書目名稱Elliptic Theory and Noncommutative Geometry網(wǎng)絡(luò)公開度
書目名稱Elliptic Theory and Noncommutative Geometry網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Elliptic Theory and Noncommutative Geometry被引頻次
書目名稱Elliptic Theory and Noncommutative Geometry被引頻次學(xué)科排名
書目名稱Elliptic Theory and Noncommutative Geometry年度引用
書目名稱Elliptic Theory and Noncommutative Geometry年度引用學(xué)科排名
書目名稱Elliptic Theory and Noncommutative Geometry讀者反饋
書目名稱Elliptic Theory and Noncommutative Geometry讀者反饋學(xué)科排名
作者: Introvert 時(shí)間: 2025-3-21 21:24 作者: dissent 時(shí)間: 2025-3-22 03:18 作者: 拒絕 時(shí)間: 2025-3-22 06:30 作者: NIB 時(shí)間: 2025-3-22 11:00
Matter and Methods at Low Temperatures for the algebra we consider an appropriate algebra of functions) play the role of algebras of symbols in this theory. In this section, we present necessary definitions and main facts of interest to us in the theory of crossed products.作者: 相容 時(shí)間: 2025-3-22 15:54
P. A. Barber,B. Bruederlin,A. M. Buchanngent bundle of the manifold . and the Chern character of the symbol. (Both are collections of cohomology classes defined on cotangent bundles of fixed-point manifolds . of the action of Г.) In this chapter, we describe the Chern character.作者: 相容 時(shí)間: 2025-3-22 19:48
Maturing the Snowflake Data Cloudor the usual Fredholm index, which can be extracted from the Λ-Fredholm index by the formula . where .: Λ → ? is the “forgetful” homomorphism associated with the trivial representation of Г in ? (see Proposition 5.2).作者: OCTO 時(shí)間: 2025-3-22 22:12
https://doi.org/10.1007/978-3-476-03714-5onlocal equation . can be reduced to a system of local equations. To this end, we replace the functions . and . by the vector functions . whose components . are obtained as shifts of the original functions by the elements of Г.作者: 小口啜飲 時(shí)間: 2025-3-23 03:21
Introductionion of this type has the form . where . and . are some differential operators, . is the unknown function, and .: Ω → Ω is a self-mapping of the domain where the equation is considered. We shall consider only equations in which the mapping . is invertible.作者: 乞討 時(shí)間: 2025-3-23 06:08
Nonlocal Functions and Bundles for the algebra we consider an appropriate algebra of functions) play the role of algebras of symbols in this theory. In this section, we present necessary definitions and main facts of interest to us in the theory of crossed products.作者: cardiac-arrest 時(shí)間: 2025-3-23 12:29
Chern Characterngent bundle of the manifold . and the Chern character of the symbol. (Both are collections of cohomology classes defined on cotangent bundles of fixed-point manifolds . of the action of Г.) In this chapter, we describe the Chern character.作者: Etching 時(shí)間: 2025-3-23 16:55 作者: 作嘔 時(shí)間: 2025-3-23 18:19
Index Formula for a Finite Group Гonlocal equation . can be reduced to a system of local equations. To this end, we replace the functions . and . by the vector functions . whose components . are obtained as shifts of the original functions by the elements of Г.作者: Diuretic 時(shí)間: 2025-3-23 23:59 作者: Ibd810 時(shí)間: 2025-3-24 03:18 作者: HEAVY 時(shí)間: 2025-3-24 07:24 作者: certitude 時(shí)間: 2025-3-24 12:20 作者: –吃 時(shí)間: 2025-3-24 14:49 作者: 喚醒 時(shí)間: 2025-3-24 20:07 作者: corpuscle 時(shí)間: 2025-3-25 01:02
P. A. Barber,B. Bruederlin,A. M. Buchanngent bundle of the manifold . and the Chern character of the symbol. (Both are collections of cohomology classes defined on cotangent bundles of fixed-point manifolds . of the action of Г.) In this chapter, we describe the Chern character.作者: 諂媚于性 時(shí)間: 2025-3-25 07:09 作者: WAX 時(shí)間: 2025-3-25 09:23
Maturing the Snowflake Data Cloudor the usual Fredholm index, which can be extracted from the Λ-Fredholm index by the formula . where .: Λ → ? is the “forgetful” homomorphism associated with the trivial representation of Г in ? (see Proposition 5.2).作者: GET 時(shí)間: 2025-3-25 13:55
https://doi.org/10.1007/978-3-0348-8816-5y [57], where one considers the index of local elliptic operators over .*-algebras and whose ideology we follow to a large extent here, the main role in the structure and the proof of such index formulas is played by the Künneth formula describing the .-group of tensor products of .*-algebras. To en作者: allude 時(shí)間: 2025-3-25 18:49 作者: convulsion 時(shí)間: 2025-3-25 23:07
Vladimir E. Nazaikinskii,Anton Yu. Savin,Boris Yu.First and so far the only book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators.Provides important results, wh作者: 巫婆 時(shí)間: 2025-3-26 02:58
Operator Theory: Advances and Applicationshttp://image.papertrans.cn/e/image/307808.jpg作者: 樸素 時(shí)間: 2025-3-26 06:25
https://doi.org/10.1007/978-3-642-60546-8We start the study of homotopy invariants of nonlocal elliptic operators by constructing some . homotopy invariants.作者: 任命 時(shí)間: 2025-3-26 09:33
https://doi.org/10.1007/978-3-642-59446-5Let . : . ? . be a .-embedding of .-manifolds. In this section, we construct the direct image mapping . and prove that it preserves the Λ-index.作者: Catheter 時(shí)間: 2025-3-26 14:33 作者: 無節(jié)奏 時(shí)間: 2025-3-26 16:52
,Quantenmechanik und Daseinsrelativit?t,Let . be a nonlocal elliptic operator with shifts generating the group Г. Suppose that . is a projection; i.e., . Let us define its index . with values in the odd .-group of the group .*-algebra Λ = .*(Г). This can be done, for example, as follows.作者: Serenity 時(shí)間: 2025-3-27 00:26 作者: 厚顏 時(shí)間: 2025-3-27 01:41
Direct Image and Index Formulas in ,-TheoryLet . : . ? . be a .-embedding of .-manifolds. In this section, we construct the direct image mapping . and prove that it preserves the Λ-index.作者: 旅行路線 時(shí)間: 2025-3-27 07:13
Index Formula on the Noncommutative TorusIn this chapter, we show that index formulas for nonlocal elliptic operators obtained in the preceding chapters can be applied to Connes’ problem [27] concerning the index of operators on the noncommutative torus.作者: hysterectomy 時(shí)間: 2025-3-27 09:47 作者: 會(huì)議 時(shí)間: 2025-3-27 17:01 作者: 來自于 時(shí)間: 2025-3-27 20:16
Nonlocal Elliptic Operatorson of the definitions and theorems to the case of operators acting in spaces of sections of arbitrary bundles on the manifold . is a nearly (though not 100%) standard exercise. Thus, we start from scalar operators.作者: Enzyme 時(shí)間: 2025-3-28 00:05
https://doi.org/10.1007/978-1-349-81403-9ptic operators over an arbitrary .*-algebra Λ. (The problem on the index of a single operator is obtained for Λ = ?, and the problem on the index of families is obtained for Λ = .(.), where . is the parameter space.) In the present chapter, we generalize the theory of elliptic operators over .*-algebras to the case of nonlocal elliptic operators.作者: 莊嚴(yán) 時(shí)間: 2025-3-28 04:53
Maturation Phenomenon in Cerebral Ischemias similar to the classical one. Namely, it is given by the .-group of the crossed product of the algebra of functions on the cotangent bundle by the group Г. In this chapter, we give a detailed account of this result.作者: 六邊形 時(shí)間: 2025-3-28 09:26 作者: Oscillate 時(shí)間: 2025-3-28 12:04
Homotopy Classifications similar to the classical one. Namely, it is given by the .-group of the crossed product of the algebra of functions on the cotangent bundle by the group Г. In this chapter, we give a detailed account of this result.作者: 云狀 時(shí)間: 2025-3-28 15:29
0255-0156 f nonlocal elliptic operators.Provides important results, whNoncommutative geometry, which can rightfully claim the role of a philosophy in mathematicalstudies,undertakesto replacegoodoldnotionsofclassicalgeometry (suchas manifolds,vectorbundles, metrics, di?erentiable structures,etc. ) by their abs作者: 有惡臭 時(shí)間: 2025-3-28 21:18
https://doi.org/10.1007/978-3-642-58602-6n out if .(.) is replaced by the crossed product .(.).: . Here, however, the action of the group Г on . × ?. is the product of its original action on . and the . action on ?.. From this point of view, the isomorphism (6.2) . be considered as a full-fledged analog of the isomorphism (6.1).作者: 啪心兒跳動(dòng) 時(shí)間: 2025-3-29 01:44 作者: evanescent 時(shí)間: 2025-3-29 05:25
Bott Periodicityn out if .(.) is replaced by the crossed product .(.).: . Here, however, the action of the group Г on . × ?. is the product of its original action on . and the . action on ?.. From this point of view, the isomorphism (6.2) . be considered as a full-fledged analog of the isomorphism (6.1).作者: 主講人 時(shí)間: 2025-3-29 08:49
Index of Nonlocal Operators over ,*-Algebrasin the structure and the proof of such index formulas is played by the Künneth formula describing the .-group of tensor products of .*-algebras. To ensure that the Künneth formula applies, we assume throughout the chapter that the algebra Λ belongs to the so-called class . (.) in the sense of [66]. Let us recall the definition of this class.作者: 發(fā)怨言 時(shí)間: 2025-3-29 11:24
Permutations and their operationson of the definitions and theorems to the case of operators acting in spaces of sections of arbitrary bundles on the manifold . is a nearly (though not 100%) standard exercise. Thus, we start from scalar operators.作者: 休息 時(shí)間: 2025-3-29 17:07
Introductionion of this type has the form . where . and . are some differential operators, . is the unknown function, and .: Ω → Ω is a self-mapping of the domain where the equation is considered. We shall consider only equations in which the mapping . is invertible.作者: 證實(shí) 時(shí)間: 2025-3-29 22:21
Nonlocal Functions and Bundles for the algebra we consider an appropriate algebra of functions) play the role of algebras of symbols in this theory. In this section, we present necessary definitions and main facts of interest to us in the theory of crossed products.作者: thrombosis 時(shí)間: 2025-3-30 03:54 作者: dilute 時(shí)間: 2025-3-30 05:55
Elliptic Operators over ,*-Algebras consider families of nonlocal elliptic operators. The index of such a family is already not a number but an element of the .-group of the parameter space (or, which is the same, the .-group of the algebra of continuous functions on the parameter space.) In the classical elliptic theory, there is a 作者: Angioplasty 時(shí)間: 2025-3-30 10:45
Homotopy Classification operators on closed manifolds considered by Atiyah and Singer, the study of this problem naturally starts from establishing the homotopy classification of elliptic operators. It is well known that in the classical case this classification is given by the .-group with compact supports of the cotange作者: genesis 時(shí)間: 2025-3-30 15:13 作者: 無動(dòng)于衷 時(shí)間: 2025-3-30 18:34
Chern Characterngent bundle of the manifold . and the Chern character of the symbol. (Both are collections of cohomology classes defined on cotangent bundles of fixed-point manifolds . of the action of Г.) In this chapter, we describe the Chern character.作者: 無所不知 時(shí)間: 2025-3-30 21:52
Cohomological Index FormulaTd(. ? ?; Г) of the complexified tangent bundle of the manifold . with a Г-action. Let us construct this class. It belongs to the product . of even degree cohomology groups of the fixed point submanifolds ., where .0 runs over representatives of all conjugacy classes in Г. (Recall that the fixed poi作者: aristocracy 時(shí)間: 2025-3-31 02:39 作者: Preserve 時(shí)間: 2025-3-31 09:04
Index of Nonlocal Operators over ,*-Algebrasy [57], where one considers the index of local elliptic operators over .*-algebras and whose ideology we follow to a large extent here, the main role in the structure and the proof of such index formulas is played by the Künneth formula describing the .-group of tensor products of .*-algebras. To en作者: 迎合 時(shí)間: 2025-3-31 10:15
Index Formula for a Finite Group Гonlocal equation . can be reduced to a system of local equations. To this end, we replace the functions . and . by the vector functions . whose components . are obtained as shifts of the original functions by the elements of Г.作者: nocturnal 時(shí)間: 2025-3-31 17:21
Book 2008tement (or at least admit an equivalent classical statement) but can be solved only in the framework of noncommutative geometry. One of such problems is the subject of the present book. The classical elliptic theory developed in the well-known work of Atiyah and Singer on the index problem relates a