Hypersingular Integrals and Their Applications

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A01=Stefan Samko
advanced mathematical physics
Approximative Inverses
Author_Stefan Samko
Bessel Potentials
Category=PBK
Continuity Modulus
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
fourier
fractional calculus
Fractional Derivative
Fractional Integration Operator
functional analysis
Hardy Littlewood Inequality
harmonic
hypersingular integral equation solutions
Hypersingular Integrals
Hypersingular Operator
inverse
Inverse Operator
Lebesgue Dominated Convergence Theorem
multidimensional integration methods
Neutral Type
Nice Functions
Non-standard Finite Differences
normalizing
Odd Type
operator
operator theory applications
operators
Orlicz
Orlicz Spaces
Potent Ia
potential
riesz
Riesz Derivatives
Riesz Fractional Derivative
Riesz Kernel
Riesz Potential
Schwartzian Functions
singular integral equations
Space Lp
spherical
Test Function Space
transform
Truncated Integrals

Product details

  • ISBN 9780415272681
  • Weight: 816g
  • Dimensions: 178 x 254mm
  • Publication Date: 25 Oct 2001
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before building more sophisticated ideas, and his discussions include a description of hypersingular integrals as they relate to functional spaces. Hypersingular Integrals and Their Applications also presents recent results and applications that will prove valuable to graduate students and researchers working in mathematical analysis.

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