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Algebraic spaces --- Smarandache notions --- Geometry, Algebraic --- Mathematical physics --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Physical mathematics --- Physics --- Algebraic geometry --- Notions, Smarandache --- Number theory --- Spaces, Algebraic

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This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point for students looking for new directions to write their PhD thesis as well as for experienced researchers in analysis looking for new problems with great potential to be very useful both in pure and applied mathematics where classical analysis ha

Matrices. --- Algebraic spaces. --- Schur multiplier. --- Multiplier, Schur --- Representations of groups --- Spaces, Algebraic --- Geometry, Algebraic --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal

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Algebraic geometry --- Algebraic topology --- Algebraic spaces --- Algebraische ruimten --- Espaces algébriques --- Homologie --- Homology theory --- Algebraic spaces. --- 51 --- Mathematics --- 51 Mathematics --- Cohomology theory --- Contrahomology theory --- Spaces, Algebraic --- Geometry, Algebraic --- Homology theory.

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This book, the result of the authors’ long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book’s most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.

Mathematics. --- Functional analysis. --- Operator theory. --- Operator Theory. --- Functional Analysis. --- Integral operators. --- Algebraic spaces. --- Spaces, Algebraic --- Operators, Integral --- Geometry, Algebraic --- Integrals --- Operator theory --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional analysis

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Operator theory --- Scattering (Mathematics) --- Ruelle operators. --- Function spaces. --- Algebraic spaces. --- Dispersion (Mathématiques) --- Ruelle, Opérateurs de --- Espaces fonctionnels --- Espaces algébriques --- 51 <082.1> --- Mathematics--Series --- Dispersion (mathématiques) --- Dispersion (Mathématiques) --- Ruelle, Opérateurs de --- Espaces algébriques --- Algebraic spaces --- Function spaces --- Ruelle operators --- Scattering theory (Mathematics) --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Araki transfer operators, Ruelle --- -Frobenius transfer operators, Ruelle --- -Ruelle-Araki transfer operators --- Ruelle-Frobenius transfer operators --- Transfer operators --- Spaces, Function --- Functional analysis --- Spaces, Algebraic --- Geometry, Algebraic --- Ruelle, Opérateurs de. --- Espaces algébriques.