First Sentence:
miscellaneous fundamental norm inequalities containing quadratic norm inequalities in matrices which have been described in over 20 papers. Furthermore, we obtained a general idea for linear transforms essentially by using the general theory of reproducing kernels, which is the main tool in this book.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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isometrical identity, isometrical identities, analytic extension formulas, real inversion formulas, corresponding reproducing kernel, nontangential boundary values, initial heat distribution, comprising functions, reproducing kernels, inverse source problems, finite norms, reproducing kernel spaces, space admitting, reproducing property, space comprising, linear transforms, integral transform, complete orthonormal system, inverse formula, positive matrix, norm inequalities, positive matrices, heat equation
Key Phrases - Capitalized Phrases (CAPs):
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Sobolev Hilbert
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