Fourier series in several variables with applications to partial differential equations. (©2011)

• Record Type: Book
• Further Information: Note: Victor L. Shapiro.
• Other Names: Shapiro, Victor L (Victor Lenard), 1924-2013
• Contents: Summability of Multiple Fourier Series; Introduction; Iterated Fejer Summability of Fourier Series; Bochner-Riesz Summability of Fourier Series; Abel Summability of Fourier Series; Gauss-Weierstrass Summability of Fourier Series; Further Results and Comments Conjugate Multiple Fourier Series ; Introduction; Abel Summability of Conjugate Series; Spherical Convergence of Conjugate Series; The Cα -Condition; An Application of the Cα -Condition; An Application of the Lp –Condition; Further Results and Comments Uniqueness of Multiple Trigonometric Series ; Uniqueness for Abel Summability; Uniqueness for Circular Convergence; Uniqueness, Number Theory, and Fractals; Further Results and Comments Positive Definite Functions ; Positive Definite Functions on SN -l ; Positive Definite Functions on TN ; Positive Definite Functions on SN 1-l × TN ; Further Results and Comments Nonlinear Partial Differential Equations ; Reaction-Diffusion Equations on the N-Torus; Quasilinear Ellipticity on the N -Torus; Further Results and Comments The Stationary Navier-Stokes Equations ; Distribution Solutions; Classical Solutions; Further Results and Comments Appendix A: Integrals and Identities; Appendix B: Real Analysis; Appendix C: Harmonic and Subharmonic Functions Bibliography Index
• Publisher Details: Boca Raton, Fla : CRC Press
• Publication Date: 2011
• Copyright Date: 2011
• Extent: 1 online resource (xiv, 334 pages)
• Subjects: 515/.2433; Fourier series; Functions of several real variables; Differential equations, Partial; MATHEMATICS -- Infinity; Differential equations, Partial; Fourier series; Functions of several real variables; Electronic books
• Languages: English
• ISBNs: 9781439854280; 1439854289; 1439854270; 9781439854273
• Related ISBNs: 9781439854273
• Notes: Note: Includes bibliographical references (pages 331-334).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.