Search for dissertations about: "inbäddningar"

Found 4 swedish dissertations containing the word inbäddningar.

2. 1. Embedding Theorems for Mixed Norm Spaces and Applications

   Author : Robert Algervik; Viktor Kolyada; Lars-Erik Persson; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; mixed norms; embeddings; rearrangements; anisotropic fractional Sobolev spaces; anisotropic Besov spaces; mixade normer; inbäddningar; omarrangeringar; anisotropa fractionära Sobolev rum; anisotropa Besov rum; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

   Abstract : This thesis is devoted to the study of mixed norm spaces that arise in connection with embeddings of Sobolev and Besov type spaces. The work in this direction originates in a paper due to Gagliardo (1958), and was continued by Fournier (1988) and by Kolyada (2005). We consider fully anisotropic mixed norm spaces. READ MORE

4. 2. Morphisms of real calculi from a geometric and algebraic perspective

   Author : Axel Tiger Norkvist; Joakim Arnlind; Stefan Wagner; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; noncommutative geometry; embeddings; matrix algebras; real calculi; morphisms; free module; projective module;

   Abstract : Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. READ MORE

5. 3. The Noncommutative Geometry of Real Calculi

   Author : Axel Tiger Norkvist; Joakim Arnlind; Vladimir Tkatjev; Stefan Wagner; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : Noncommutative geometry extends the traditional connections between algebra and geometry beyond the realm of commutative algebras, allowing for a broader exploration of geometric concepts in noncommutative settings. The geometric perspective facilitates the study and understanding of various mathematical structures, including operator algebras, quantum groups, and noncommutative spaces. READ MORE

6. 4. Propagation of singularities for pseudo-differential operators and generalized Schrödinger propagators

   Author : Karoline Johansson; Joachim Toft; Anders Olofsson; Linnéuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Banach spaces; Fourier; Generalized time-dependent Schrödinger equation; Micro-local; Modulation spaces; Non-tangential convergence; Pseudo-differential operators; Regularity; Wave-front sets; Banachrum; Fourier; Generaliserad tidsberoende Schrödinger ekvation; Icke-tangentiell konvergens; Mikrolokal; Modulationsrum; Pseudodifferentialoperatorer; Regularitet; Vågfrontsmängder; Mathematical analysis; Analys; Mathematics; Matematik;

   Abstract : In this thesis we discuss different types of regularity for distributions which appear in the theory of pseudo-differential operators and partial differential equations. Partial differential equations often appear in science and technology. READ MORE