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Mathematical physics --- Transformation groups --- Groups of transformations --- Group theory --- Topology --- Transformations (Mathematics) --- Physical mathematics --- Physics --- Mathematics --- Transformation groups. --- Mathematical physics.

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This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.

Closed operators. --- Banach spaces. --- Spectral theory (Mathematics) --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Functions of complex variables --- Generalized spaces --- Topology --- Operators, Closed --- Linear operators --- Operateurs lineaires --- Theorie spectrale --- Espaces de banach

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This book consists of a carefully constructed sequence of questions which will enable the reader, through his or her own participation, to generate all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of M bius transformations and stereographic projection, are also included. Quaternions and their relationship to 3dimensional isometrics are covered, and the climax of the book is a study of crystallographic groups, with a complete analysis of these groups in two dimensions.

Geometry --- Group theory --- Transformation groups --- 512.54 --- Groups of transformations --- Topology --- Transformations (Mathematics) --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Mathematics --- Euclid's Elements --- 512.54 Groups. Group theory --- Groups. Group theory --- Geometry. --- Group theory. --- Transformation groups. --- Théorie des groupes --- Transformations, Groupes de --- Géométrie --- Groupes, Théorie des. --- Groupes, Théorie des --- Géometrie --- Géometrie --- Groupes, Théorie des. --- Groupes, Théorie des

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Signal processing --- Fourier transformations --- Convolutions (Mathematics) --- Traitement du signal --- Transformations de Fourier --- Digital techniques --- Techniques numériques --- Convolution transforms --- Transformations, Convolution --- -#TELE:TMIC --- TMS --- Fourier transformations. --- Convolutions (Mathematics). --- algoritmen --- digitale technieken --- Fourier --- #TELE:TMIC --- #TWER:BOEK --- 681.5 --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Distribution (Probability theory) --- Functions --- Integrals --- 681.5 Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology --- Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology --- Digital signal processing --- Digital communications --- Digital electronics --- Digital techniques. --- Fourier transformatons