Concept
Sobolev space
Related publications (118)
Axiomatic theory of Sobolev spaces
We develop an axiomatic approach to the theory of Sobolev spaces on metric measure spaces and we show that this axiomatic construction covers the main known examples (Hajlasz Sobolev spaces, weighted Sobolev spaces, Upper-radients, etc). We then introduce ...
2001Why Restrict Ourselves to Compactly Supported Basis Functions?
Compact support is undoubtedly one of the wavelet properties that is given the greatest weight both in theory and applications. It is usually believed to be essential for two main reasons: (1) to have fast numerical algorithms, and (2) to have good time or ...
SPIE2001Sampling—50 Years After Shannon
This paper presents an account of the current state of sampling, 50 years after Shannon's formulation of the sampling theorem. The emphasis is on regular sampling where the grid is uniform. This topic has benefited from a strong research revival during the ...
IEEE2000Image Interpolation and Resampling
Michaël Unser, Philippe Thévenaz, Thierry Blu
This chapter presents a survey of interpolation and resampling techniques in the context of exact, separable interpolation of regularly sampled data. In this context, the traditional view of interpolation is to represent an arbitrary continuous function as ...
Academic Press2000Sustainable Development Based Methodology for the Optimized Integrated Design and Operation of Energy Conversion Processes and Networks.
A design methodology allowing engineers to consider simultaneously and from the earliest phases of design some of the key factors of sustainable development (pollution, life cycle data) has been developed and successfully demonstrated on two examples of in ...
1999