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Preface | ||
1 | Introduction | 1 |
Pt. I | Introduction to polysplines | 15 |
2 | One-dimensional linear and cubic splines | 19 |
3 | The two-dimensional case: data and smoothness concepts | 29 |
4 | The objects concept: harmonic and polyharmonic functions in rectangular domains in R[superscript 2] | 39 |
5 | Polysplines on strips in R[superscript 2] | 57 |
6 | Application of polysplines to magnetism and CAGD | 67 |
7 | The objects concept: harmonic and polyharmonic functions in annuli in R[superscript 2] | 77 |
8 | Polysplines and annuli in R[superscript 2] | 101 |
9 | Polysplines on strips and annuli in R[superscript n] | 117 |
10 | Compendium on spherical harmonics and polyharmonic functions | 129 |
11 | Appendix on Chebyshev splines | 187 |
12 | Appendix on Fourier series and Fourier transform | 209 |
Bibliography to Part I | 213 | |
Pt. II | Cardinal polysplines in R[superscript n] | 217 |
13 | Cardinal L-splines according to Micchelli | 221 |
14 | Riesz bounds for the cardinal L-splines Q[subscript Z+1] | 267 |
15 | Cardinal interpolation polysplines on annuli | 287 |
Bibliography to Part II | 307 | |
Pt. III | Wavelet analysis | 309 |
16 | Chui's cardinal spline wavelet analysis | 313 |
17 | Cardinal L-spline wavelet analysis | 325 |
18 | Polyharmonic wavelet analysis: scaling and rotationally invariant spaces | 371 |
Bibliography to Part III | 395 | |
Pt. IV | Polysplines for general interfaces | 397 |
19 | Heuristic arguments | 399 |
20 | Definition of polysplines and uniqueness for general interfaces | 409 |
21 | A priori estimates and Fredholm operators | 429 |
22 | Existence and convergence of polysplines | 445 |
23 | Appendix on elliptic boundary value problems in Sobolev and Holder spaces | 461 |
24 | Afterword | 485 |
Bibliography to Part IV | 487 | |
Index | 491 |
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Add Multivariate Polysplines, Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multiva, Multivariate Polysplines to the inventory that you are selling on WonderClubX
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Add Multivariate Polysplines, Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multiva, Multivariate Polysplines to your collection on WonderClub |