Global ETD Search
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Showing 1 to 8 of 8 for “"Pseudo-differential operators"”.
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On quantum Euclidean spaces: Continuous deformation and pseudo-differential operators
… thesis, we study the continuous deformation and Pseudo-differential calculus of quantum Euclidean spaces. After reviewing the basic definitions and representation theory of quantum Euclidean spaces in Chapter 1, we prove in Chapter 2 a Lip^(1/2) continuous embedding of the family of quantum …
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Residue functionals on the algebra of adiabatic pseudo-differential operators
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
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Boundedness, Hypoellipticity and Schatten-Von Neumann properties for Global Pseudo-differential Operators on R^d.
L'abstract è presente nell'allegato / the abstract is in the attachment
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TOPICS IN STOCHASTICS AND STATISTICS: SHOCK CREATION AND DISSOLUTION FOR STABLE AND LINNIK CONSERVATION LAWS AND TARGET STUDENT RECRUITMENT USING PREDICTIVE MODELING
… (shocks) for the solutions of nonlinear integro-differential equations with diffusive terms related to the stable and Linnik processes. The second is applied, and relies on logistic models.Over the past several decades, the subject of non-local, pseudo-differential operators witnessed a …
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Operators on singular manifolds
… complex analysis and develop new structures of operators based on the Mellin transform and tools for iterating the calculus for higher singularities. We refer to the idea of interpreting boundary value problems (BVPs) in terms of pseudo-differential operators with a principal symbolic hierarchy, …
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The 1-dimensional [lambda]-self shrinkers in R² and the nodal sets of biharmonic Steklov problems
… establish that the boundary biharmonic Steklov operators are elliptic pseudo-differential operators. Thus we are able to establish lower bounds on both the measure of boundary nodal sets and interior nodal sets for biharmonic Steklov eigenfunctions.
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Conformally Invariant Operators in Higher Spin Spaces
… arbitrary order conformally invariant operators in higher spin spaces, where functions take values in irreducible representations of Spin groups. We provide explicit formulas for them.</p> <p>We first construct the Dirac operator and Rarita-Schwinger operator as Stein Weiss type …
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An iterative approach to operators on manifolds with singularities
… axiomatic requirements on parameter-dependent operators in suitable scales of spaes. The idea is to model an iterative process with new generations of parameter-dependent operator theories, together with new scales of spaces that satisfy analogous requirements as the original ones, now on a …