Obstruction 发表于 2025-3-23 12:35:50
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Minh Kha,Peter KuchmentThe first unified exposition of Liouville and Riemann–Roch type theorems for elliptic operators on abelian coverings.Gives a well-organized and self-contained exposition of the topic, including new reDiscrete 发表于 2025-3-23 21:28:13
Lecture Notes in Mathematicshttp://image.papertrans.cn/l/image/586827.jpg不如乐死去 发表于 2025-3-24 02:03:42
The Main Results,, the Riemann-Roch type equalities cannot be achieved (counterexamples are shown), while inequalities still hold. These inequalities, however, can be applied, the same way the equalities are, for proving the existence of solutions of elliptic equations with prescribed zeros, poles, and growth at infinity.强化 发表于 2025-3-24 05:00:05
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Specific Examples of Liouville-Riemann-Roch Theorems,In this chapter, we look at some examples of applications of the results of Chap. .. These include in particular self-adjoint operators with non-degenerate spectral band edges, operators with Dirac points in dispersion relation, as well as some non-self-adjoint cases.Veneer 发表于 2025-3-24 12:46:30
Auxiliary Statements and Proofs of Technical Lemmas,Here we collect a variety of technical auxiliary considerations and results used in, or related to the content of the main chapters of the book.JAUNT 发表于 2025-3-24 15:56:45
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Gabriel Amaral,Mārcis Pinnis,Inguna Skadiņa,Odinaldo Rodrigues,Elena Simperlry material: .For the first time in limnofaunistic bibliography, the present taxonomic knowledge about the different clades of chelicerata having adapted to an aquatic or amphibious lifestyle along various evolutionary pathways is brought together in an overview for the Central-European fauna. A tot