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Given such a weight and semigroup, one can construct and further analyze in detail a weak solution to the stochastic differential equation combining variational techniques, regularity theory for partial differential equations, potential, and generalized Dirichlet form theory.
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This unique treatment answers the need for a new approach to the subject, which emphasises the general unifying principles and provides clear motivation, efficient proofs and original references. It serves as a graduate-level textbook or a convenient reference.
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Unlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is consistent with the recommendations of the MAA’s 2004 Curriculum Guide.
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Learn the basics of white noise theory with White Noise Distribution Theory. This book covers the mathematical foundation and key applications of white noise theory without requiring advanced knowledge in this area.
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Part one of the authors' comprehensive and innovative work on multidimensional real analysis. Numerous illustrative exercises combined with an exhaustive... Læs mere
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The techniques used to solve non-linear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems from first principles,... Læs mere
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When it was first published this was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. This edition has a... Læs mere
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Part two of the authors' comprehensive and innovative work on multidimensional real analysis. Numerous illustrative exercises combined with an exhaustive... Læs mere
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This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective,... Læs mere
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Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in... Læs mere
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Learn the basics of white noise theory with White Noise Distribution Theory. This book covers the mathematical foundation and key applications of white noise theory without requiring advanced knowledge in this area.
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This two-volume text in harmonic analysis is appropriate for advanced undergraduate students with a strong background in mathematical analysis and for... Læs mere