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Many details are arranged primarily for reference, such as inclusion of the most commonly used terminology and notation. Indeed, investigations in limit laws led to contractable groups and - at least within the class of connected groups - to homogeneous groups, in particular to groups that are topologically isomorphic to a vector space. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. We trust that this feature does not constitute a serious drawback-in our literature search we tried to leave no stone unturned we collected over references. A bibliography of multivariate approximation concludes the book. Personal taste may have done some injustice to the subject matter by omitting or emphasizing certain topics due to space limitations. In several cases, we have proposed unification to overcome the ambiguity of notions so often present in this area. Throughout, emphasis is laid on the description of features common to the group- and vector space situation. The purpose of this book is to describe the structure of limit laws and the limit behaviour of normalized i. Schumaker, F. The second was our observation of the growing demand for statistical distributions having properties tangent to those exhibited by the Laplace laws. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. Readers of Chapters II and III are assumed to be familiar with basic techniques from probability theory on locally compact groups. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Chapter I can be understood by graduate students with some background knowledge in infinite divisibility. These two "necessary" conditions justified our efforts that led to this book.
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