This volume presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. Beyond some basic properties of fractional integrals in one and many dimensions, it contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics. The author focuses on explicit inversion formulae that can be obtained by making use of the classical Marchaudís approach and its generalization, leading to wavelet type representations.
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In this section we recall some basic facts related to spaces Lp = Lp(Rn) and some other auxiliary statements that will be used throughout the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spherical wavelet transform, spherical convolution, fractional integration operators, regularizing family, fractional integrals, hypersingular integrals, reproducing formula, truncated integrals, multiplier operators, linear bounded operators, oscillatory potentials, fractional derivatives, inversion formulae, absolutely continuous measure, regularized solution, maximal function, fractional calculus, semigroup property, generalized functions, assume additionally, contraction property Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Proof Consider, Proof Denote, Let Rea, Proof First, Proof By Lemma, Proof Put New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
In this section we recall some basic facts related to spaces Lp = Lp(Rn) and some other auxiliary statements that will be used throughout the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spherical wavelet transform, spherical convolution, fractional integration operators, regularizing family, fractional integrals, hypersingular integrals, reproducing formula, truncated integrals, multiplier operators, linear bounded operators, oscillatory potentials, fractional derivatives, inversion formulae, absolutely continuous measure, regularized solution, maximal function, fractional calculus, semigroup property, generalized functions, assume additionally, contraction property Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Proof Consider, Proof Denote, Let Rea, Proof First, Proof By Lemma, Proof Put New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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- South Carolina (America the Beautiful, Second) by R. Conrad Stein in Back Matter
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