Approximate approximations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2007
|
| Series: | Mathematical surveys and monographs
141 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 345-348) and index |
| Physical Description: | XIV, 349 S. graph. Darst. |
| ISBN: | 9780821842034 |
Staff View
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV035287097 | ||
| 003 | DE-604 | ||
| 005 | 20230830 | ||
| 007 | t| | ||
| 008 | 090203s2007 xxud||| |||| 00||| eng d | ||
| 020 | |a 9780821842034 |c alk. paper |9 978-0-8218-4203-4 | ||
| 035 | |a (OCoLC)263412463 | ||
| 035 | |a (DE-599)BVBBV035287097 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-634 |a DE-83 |a DE-824 |a DE-188 |a DE-703 | ||
| 050 | 0 | |a QA221 | |
| 082 | 0 | |a 511.4 | |
| 084 | |a SK 470 |0 (DE-625)143241: |2 rvk | ||
| 100 | 1 | |a Mazʹja, Vladimir Gilelevič |d 1937- |e Verfasser |0 (DE-588)121490602 |4 aut | |
| 245 | 1 | 0 | |a Approximate approximations |c Vladimir Maz'ya ; Gunther Schmidt |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2007 | |
| 300 | |a XIV, 349 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v 141 | |
| 500 | |a Includes bibliographical references (p. 345-348) and index | ||
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Approximationstheorie |0 (DE-588)4120913-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Schmidt, Gunther |d 1952- |e Verfasser |0 (DE-588)129408999 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1368-2 |
| 830 | 0 | |a Mathematical surveys and monographs |v 141 |w (DE-604)BV000018014 |9 141 | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch Darmstadt |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017092222&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-017092222 | |
Record in the Search Index
| _version_ | 1829454806582820864 |
|---|---|
| adam_text |
MATHEMATICAL SURVEYS AND MONOGRAPHS VOLUME 141 APPROXIMATE
APPROXIMATIONS VLADIMIR MAZ'YA GUNTHER SCHMIDT AMERICAN MATHEMATICAL
SOCIETY CONTENTS PREFACE XI CHAPTER 1. QUASI-INTERPOLATION 1 1.1.
INTRODUCTION 1 1.1.1. EXERCISE FOR A FRESHMAN 1 1.1.2. SIMPLE
APPROXIMATION FORMULA 4 1.2. FURTHER EXAMPLES 6 1.2.1. ERRORS OF
APPROXIMATE QUASI-INTERPOLATION 6 1.2.2. A SIMPLE APPLICATION OF THE
APPROXIMATION FORMULA (1.7) 8 1.2.3. OTHER BASIS FUNCTIONS 10 1.2.4.
EXAMPLES OF HIGHER-ORDER QUASI-INTERPOLANTS 13 1.2.5. EXAMPLES OF
MULTI-DIMENSIONAL QUASI-INTERPOLANTS 17 CHAPTER 2. ERROR ESTIMATES FOR
QUASI-INTERPOLATION 19 2.1. AUXILIARY RESULTS 19 2.1.1. FUNCTION SPACES
19 2.1.2. FOURIER TRANSFORM 20 2.1.3. CONVOLUTIONS 21 2.1.4. RADIAL
FUNCTIONS 22 2.1.5. MULTI-DIMENSIONAL POISSON SUMMATION FORMULA 22 2.2.
SOME PROPERTIES OF QUASI-INTERPOLANTS 23 2.2.1. YOUNG'S INEQUALITY FOR
SEMI-DISCRETE CONVOLUTIONS 23 2.2.2. AN AUXILIARY FUNCTION 25 2.2.3.
REPRESENTATIONS OF THE QUASI-INTERPOLANT M.H,V 27 2.2.4. RELATIONS TO
CONTINUOUS CONVOLUTIONS 29 2.2.5. POISSON'S SUMMATION FORMULA FOR A A 31
2.3. POINTWISE ERROR ESTIMATES FOR QUASI-INTERPOLATION 33 2.3.1. USING
THE MOMENTS OF R\ 33 2.3.2. TRUNCATION OF SUMMATION 35 2.3.3. LOCAL
ESTIMATE OF THE QUASI-INTERPOLATION 36 2.3.4. HOLDER CONTINUOUS
FUNCTIONS 38 2.3.5. APPROXIMATION OF DERIVATIVES 40 2.4. LP-ESTIMATES OF
THE QUASI-INTERPOLATION ERROR 41 2.4.1. FORMULATION OF THE RESULT 41
2.4.2. ESTIMATION OF THE REMAINDER TERM 42 2.4.3. REMARK ON THE BEST
APPROXIMATION 44 2.4.4. LOCAL L P -ESTIMATES 45 2.5. NOTES 45 VI
CONTENTS CHAPTER 3. VARIOUS BASIS FUNCTIONS * EXAMPLES AND CONSTRUCTIONS
49 3.1. INTRODUCTION 49 3.2. EXAMPLES 49 3.2.1. ONE-DIMENSIONAL EXAMPLES
49 3.2.2. EXAMPLES OF MULTI-VARIATE BASIS FUNCTIONS 50 3.3. BASIS
FUNCTIONS FOR HIGHER-ORDER APPROXIMATIONS 50 3.3.1. A GENERAL FORMULA 50
3.3.2. SYMMETRIC BASIS FUNCTIONS 51 3.3.3. RADIAL BASIS FUNCTIONS 52
3.3.4. EXAMPLE 54 3.3.5. ANISOTROPIC GAUSSIAN FUNCTION 56 3.4. SOME
OTHER METHODS 57 3.4.1. USING A COLLECTION OF DIFFERENT V 58 3.4.2.
DERIVATIVES WITH RESPECT TO T 59 3.5. LINEAR COMBINATIONS OF TRANSLATES
60 3.5.1. CONSTRUCTION OF THE GENERATING FUNCTION (3.30) 60 3.5.2. THE
CASE OF SYMMETRIC 7 7 63 3.6. MATRIX-VALUED BASIS FUNCTIONS 64 3.7.
DIMINISHING THE PARAMETER T 65 3.7.1. PERTURBATION OF 77 65 3.7.2.
COMBINATIONS OF TRANSLATES 67 3.8. NOTES 68 CHAPTER 4. APPROXIMATION OF
INTEGRAL OPERATORS 69 4.1. INTRODUCTION 69 4.2. HILBERT TRANSFORM 71
4.3. HARMONIC POTENTIALS 74 4.3.1. ACTION ON GAUSSIANS 74 4.3.2. ACTION
ON HIGHER-ORDER BASIS FUNCTIONS 76 4.3.3. SEMI-ANALYTIC CUBATURE
FORMULAS 77 4.3.4. NUMERICAL EXAMPLE 78 4.3.5. GRADIENT OF THE HARMONIC
POTENTIAL 79 4.4. APPROXIMATION PROPERTIES 81 4.4.1. ROUGH ERROR
ESTIMATE 81 4.4.2. QUASI-INTERPOLATION ERROR IN SOBOLEV SPACES OF
NEGATIVE ORDER 82 4.4.3. CUBATURE ERROR FOR THE HARMONIC POTENTIAL 85
4.5. APPLICATION TO BOUNDARY INTEGRAL EQUATION METHODS 86 4.5.1.
TRANSFORMATION OF INHOMOGENEOUS PROBLEMS 87 4.5.2. ERROR ESTIMATES 88
4.6. NOTES 91 CHAPTER 5. CUBATURE OF DIFFRACTION, ELASTIC, AND
HYDRODYNAMIC POTENTIALS 93 5.1. DIFFRACTION POTENTIALS 93 5.1.1.
HIGHER-ORDER FORMULAS 94 5.1.2. ACTION OF THE ONE-DIMENSIONAL
DIFFRACTION POTENTIAL ON THE GAUSSIAN 94 5.1.3. GENERAL FORM OF THE
CONVOLUTION WITH GAUSSIAN 96 5.1.4. ANALYTIC EXPRESSIONS OF THE
DIFFRACTION POTENTIAL 96 5.2. POTENTIALS OF ADVECTION-DIFFUSION
OPERATORS 98 CONTENTS VII 5.3. ELASTIC AND HYDRODYNAMIC POTENTIALS 99
5.4. TWO-DIMENSIONAL POTENTIALS 100 5.4.1. FUNDAMENTAL SOLUTIONS 100
5.4.2. AN AUXILIARY FORMULA 100 5.4.3. POTENTIALS OF THE GAUSSIAN 101
5.4.4. POTENTIALS OF HIGHER-ORDER GENERATING FUNCTIONS 102 5.4.5. FINAL
FORM OF THE ELASTIC AND HYDRODYNAMIC POTENTIALS 105 5.4.6. USING
MATRIX-VALUED BASIS FUNCTIONS 106 5.5. THREE-DIMENSIONAL POTENTIALS 108
5.5.1. POTENTIALS OF THE GAUSSIAN 109 5.5.2. ELASTIC POTENTIAL OF
HIGHER-ORDER GENERATING FUNCTIONS 110 5.5.3. FINAL FORM OF THE ELASTIC
AND HYDRODYNAMIC POTENTIALS 112 5.6. NOTES 113 CHAPTER 6. SOME OTHER
CUBATURE PROBLEMS 115 6.1. CUBATURE OF SOME PSEUDODIFFERENTIAL OPERATORS
115 6.1.1. SQUARE ROOT OF THE LAPLACIAN 115 6.1.2. HIGHER-DIMENSIONAL
SINGULAR INTEGRALS 116 6.1.3. BIHARMONIC POTENTIAL 119 6.2. APPROXIMATE
SOLUTION OF NON-STATIONARY PROBLEMS 120 6.2.1. THE CAUCHY PROBLEM FOR
THE HEAT EQUATION 120 6.2.2. THE CAUCHY PROBLEM FOR THE WAVE EQUATION
123 6.2.3. VIBRATIONS OF A PLATE 125 6.3. POTENTIALS OF ANISOTROPIC
GAUSSIANS 126 6.3.1. SECOND-ORDER PROBLEMS 127 6.3.2. SOME SPECIAL CASES
128 6.3.3. ELASTIC AND HYDRODYNAMIC POTENTIALS OF ANISOTROPIC GAUSSIANS
131 6.3.4. POTENTIALS OF ORTHOTROPIC GAUSSIANS 133 6.4. POTENTIALS OF
HIGHER-ORDER GENERATING FUNCTIONS FOR ORTHOTROPIC GAUSSIANS 134 6.5.
POTENTIALS OF TRUNCATED GAUSSIANS 136 6.5.1. INTEGRAL OPERATORS OVER
BOUNDED DOMAINS 136 6.5.2. INTEGRAL OPERATORS OVER THE HALF-SPACE 137
6.5.3. HARMONIC POTENTIALS 138 6.5.4. DIFFRACTION POTENTIALS 139 6.6.
NOTES 141 CHAPTER 7. APPROXIMATION BY GAUSSIANS 143 7.1. APPROXIMATION
OF ENTIRE FUNCTIONS 143 7.1.1. APPROXIMANTS ON COARSE GRIDS 143 7.1.2.
EXAMPLES 145 7.2. HIGH-ORDER QUASI-INTERPOLATION 147 '.' 7.2.1.
GENERATING FUNCTIONS 147 : 7.2.2. SATURATION ERROR 148 7.3.
INTERPOLATION WITH GAUSSIAN KERNELS 151 ' 7.3.1. LAGRANGIAN FUNCTION 151
7.3.2. SIMPLIFICATION 154 7.3.3. INTERPOLATION ERROR 156 7.3.4. SPECTRAL
CONVERGENCE 157 VIII CONTENTS 7.3.5. EXPONENTIAL CONVERGENCE 160 7.4.
ORTHOGONAL PROJECTION 162 7.5. NOTES 163 CHAPTER 8. APPROXIMATE WAVELETS
165 8.1. INTRODUCTION 165 8.2. APPROXIMATE REFINEMENT EQUATIONS 168
8.2.1. APPROXIMATE REFINEMENT EQUATIONS FOR R\ 168 8.2.2. EXAMPLES OF
MASK FUNCTIONS 170 8.3. APPROXIMATE MULTI-RESOLUTION ANALYSIS 171 8.3.1.
APPROXIMATE CHAIN OF SUBSPACES 171 8.3.2. ALMOST ORTHOGONAL
DECOMPOSITION 172 8.4. APPROXIMATE UNIVARIATE WAVELETS 173 8.4.1.
GAUSSIAN AS SCALING FUNCTION 173 8.4.2. MOMENTS 175 8.4.3. OTHER
EXAMPLES 177 8.5. APPROXIMATE MULTI-VARIATE WAVELET DECOMPOSITION 181
8.5.1. PROJECTIONS ONTO V O 181 8.5.2. PROJECTIONS ONTO W O 182 8.6.
PROOF OF THEOREM 8.6 183 8.6.1. SIMPLIFICATION OF G(A) 184 8.6.2. ERROR
OF REPLACING G(A) BY G(X) 184 8.6.3. EQUATIONS FOR THE FOURIER
COEFFICIENTS OF \/G 185 8.6.4. SOLUTION OF (8.58) 188 8.6.5. ERROR OF
REPLACING AFC BY DK 189 8.7. POTENTIALS OF WAVELET BASIS FUNCTIONS 190
8.7.1. REPRESENTATION OF WAVELET BASIS FUNCTIONS 190 8.7.2. POTENTIALS
OF ANISOTROPIC GAUSSIANS OF A COMPLEX ARGUMENT 192 8.7.3. HARMONIC
POTENTIALS OF APPROXIMATE WAVELETS 193 8.7.4. DIFFRACTION POTENTIALS OF
APPROXIMATE WAVELETS 194 8.7.5. ELASTIC AND HYDRODYNAMIC POTENTIALS OF
APPROXIMATE WAVELETS 194 8.8. NUMERICAL EXAMPLE 195 8.9. NOTES 196
CHAPTER 9. CUBATURE OVER BOUNDED DOMAINS 197 9.1. INTRODUCTION 197 9.2.
SIMPLE APPROACH 198 9.3. APPLICATION OF THE APPROXIMATE REFINEMENT
EQUATIONS 200 9.3.1. APPROXIMATE FACTORIZATION OF THE QUASI-INTERPOLANT
200 9.3.2. PROPERTIES OF THE MASK FUNCTION FJ 201 9.3.3. CONVOLUTIONS
BASED ON THE REMAINDER TERM 202 9.4. BOUNDARY LAYER QUASI-INTERPOLANTS
203 9.4.1. MULTI-RESOLUTION DECOMPOSITION 203 9.4.2. RESTRICTION OF AJ
204 9.4.3. POINTWISE ESTIMATES 205 9.4.4. NUMERICAL EXAMPLES 207 9.4.5.
LP-ESTIMATES FOR QUASI-INTERPOLANTS OF FUNCTIONS IN DOMAINS 210 9.4.6.
LP-ESTIMATES FOR BOUNDARY LAYER QUASI-INTERPOLATION 213 9.4.7. ESTIMATES
IN WEAK NORMS 213 CONTENTS IX 9.5. CUBATURE OF POTENTIALS IN DOMAINS 214
9.6. ANISOTROPIC BOUNDARY LAYER APPROXIMATE APPROXIMATION 218 9.7.
POTENTIALS OF TENSOR PRODUCT GENERATING FUNCTIONS 221 9.8. NOTES 223
CHAPTER 10. MORE GENERAL GRIDS 225 10.1. UNIFORM GRIDS 225 10.1.1.
ORTHOTROPIC GRID 225 10.1.2. NON-ORTHOGONAL GRID 226 10.1.3. EXAMPLES
227 10.2. QUASI-INTERPOLANTS FOR DATA ON PERTURBED UNIFORM GRIDS 230
10.2.1. PERTURBED GRID 230 10.2.2. CONSTRUCTION 231 10.2.3. ERROR
ESTIMATES 231 10.2.4. NUMERICAL EXPERIMENTS WITH QUASI-INTERPOLANTS 233
10.3. NON-UNIFORMLY DISTRIBUTED NODES 235 10.3.1. DESCRIPTION OF
CONSTRUCTION AND ERROR ESTIMATE 235 10.3.2. QUASI-INTERPOLATION ON
DOMAINS 237 10.3.3. QUASI-INTERPOLATION ON MANIFOLDS 240 10.3.4.
QUASI-INTERPOLANT OF GENERAL FORM 241 10.4. NOTES 243 CHAPTER 11.
SCATTERED DATA APPROXIMATE APPROXIMATIONS 245 11.1. APPROXIMATE
PARTITION OF UNITY 246 11.1.1. BASIS FUNCTIONS WITH COMPACT SUPPORT 246
11.1.2. BASIS FUNCTIONS WITH NON-COMPACT SUPPORT 247 11.2.
QUASI-INTERPOLANTS OF A GENERAL FORM 249 11.2.1. COMPACTLY SUPPORTED
BASIS FUNCTIONS 250 11.2.2. QUASI-INTERPOLANTS WITH NON-COMPACTLY
SUPPORTED BASIS FUNCTIONS 251 11.3. COMPUTATION OF INTEGRAL OPERATORS
252 11.4. CONSTRUCTION OF THE 0-FUNCTION WITH GAUSSIANS 254 11.4.1.
APPROXIMATE PARTITION OF UNITY ON A PIECEWISE UNIFORM GRID 254 11.4.2.
SCATTERED NODES CLOSE TO A PIECEWISE UNIFORM GRID 256 11.4.3.
DISCREPANCY AS CONVOLUTION 257 11.4.4. CONSTRUCTION OF POLYNOMIALS 260
11.4.5. EXISTENCE AND UNIQUENESS 261 11.4.6. APPROXIMATION ERROR IN THE
CASE DJ = T 267 11.4.7. APPROXIMATION ERROR IN THE CASE DJ T 268
11.4.8. SUMMARY 273 11.4.9. NUMERICAL EXPERIMENTS 276 11.5. NOTES 279
CHAPTER 12. NUMERICAL ALGORITHMS BASED UPON APPROXIMATE APPROXIMATIONS *
LINEAR PROBLEMS 281 12.1. NUMERICAL SOLUTION OF THE LIPPMANN-SCHWINGER
EQUATION BY APPROXIMATE APPROXIMATIONS 282 12.1.1. PROBLEM 282 12.1.2.
ERROR ANALYSIS FOR THE COLLOCATION METHOD 285 12.1.3. NUMERICAL EXAMPLE
288 X CONTENTS 12.2. APPLICATIONS TO THE SOLUTION OF BOUNDARY INTEGRAL
EQUATIONS 289 12.2.1. BOUNDARY INTEGRAL EQUATIONS 289 12.2.2. BOUNDARY
POINT METHOD 292 12.2.3. BPM FOR SINGLE LAYER POTENTIALS 294 12.2.4. BPM
FOR DOUBLE LAYER POTENTIALS 295 12.2.5. NUMERICAL EXPERIMENTS 297
12.2.6. STABILITY ANALYSIS 300 12.3. COMPUTATION OF MULTI-DIMENSIONAL
SINGLE LAYER HARMONIC POTENTIALS 306 12.3.1. ASYMPTOTIC FORMULAS 309
12.3.2. APPROXIMATION ERROR 313 12.3.3. CUBATURE FORMULA 314 12.3.4.
BASIS FUNCTIONS 317 12.3.5. NUMERICAL EXAMPLES 319 12.4. NOTES 320
CHAPTER 13. NUMERICAL ALGORITHMS BASED UPON APPROXIMATE APPROXIMATIONS *
NON-LINEAR PROBLEMS 321 13.1. TIME-MARCHING ALGORITHMS FOR NON-LINEAR
PARABOLIC EQUATIONS 321 13.1.1. ONE-STEP TIME-MARCHING ALGORITHMS 321
13.1.2. HIGHER-DIMENSIONAL CASE 324 13.2. APPLICATION TO THE
NON-STATIONARY NAVIER-STOKES EQUATIONS 327 13.2.1. INTEGRAL EQUATION
FORMULATION 328 13.2.2. ONE-STEP TIME-MARCHING ALGORITHM 330 13.2.3.
FORMULAS FOR THE PLANE PROBLEM 331 13.2.4. NUMERICAL EXAMPLE 333 13.2.5.
FORMULAS FOR K*, N 2 334 13.3. NON-LOCAL EVOLUTION EQUATIONS 339
13.3.1. JOSEPH EQUATION 340 13.3.2. SIVASHINSKY EQUATION 340 13.4. NOTES
342 BIBLIOGRAPHY 345 INDEX 349 |
| any_adam_object | 1 |
| author | Mazʹja, Vladimir Gilelevič 1937- Schmidt, Gunther 1952- |
| author_GND | (DE-588)121490602 (DE-588)129408999 |
| author_facet | Mazʹja, Vladimir Gilelevič 1937- Schmidt, Gunther 1952- |
| author_role | aut aut |
| author_sort | Mazʹja, Vladimir Gilelevič 1937- |
| author_variant | v g m vg vgm g s gs |
| building | Verbundindex |
| bvnumber | BV035287097 |
| callnumber-first | Q - Science |
| callnumber-label | QA221 |
| callnumber-raw | QA221 |
| callnumber-search | QA221 |
| callnumber-sort | QA 3221 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 470 |
| ctrlnum | (OCoLC)263412463 (DE-599)BVBBV035287097 |
| dewey-full | 511.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.4 |
| dewey-search | 511.4 |
| dewey-sort | 3511.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zcb4500</leader><controlfield tag="001">BV035287097</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230830</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">090203s2007 xxud||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821842034</subfield><subfield code="c">alk. paper</subfield><subfield code="9">978-0-8218-4203-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)263412463</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035287097</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-703</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA221</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.4</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 470</subfield><subfield code="0">(DE-625)143241:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mazʹja, Vladimir Gilelevič</subfield><subfield code="d">1937-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121490602</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Approximate approximations</subfield><subfield code="c">Vladimir Maz'ya ; Gunther Schmidt</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 349 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">141</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 345-348) and index</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schmidt, Gunther</subfield><subfield code="d">1952-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)129408999</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-1368-2</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">141</subfield><subfield code="w">(DE-604)BV000018014</subfield><subfield code="9">141</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017092222&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-017092222</subfield></datafield></record></collection> |
| id | DE-604.BV035287097 |
| illustrated | Illustrated |
| indexdate | 2025-04-15T08:01:01Z |
| institution | BVB |
| isbn | 9780821842034 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017092222 |
| oclc_num | 263412463 |
| open_access_boolean | |
| owner | DE-634 DE-83 DE-824 DE-188 DE-703 |
| owner_facet | DE-634 DE-83 DE-824 DE-188 DE-703 |
| physical | XIV, 349 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Mazʹja, Vladimir Gilelevič 1937- Verfasser (DE-588)121490602 aut Approximate approximations Vladimir Maz'ya ; Gunther Schmidt Providence, RI American Math. Soc. 2007 XIV, 349 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 141 Includes bibliographical references (p. 345-348) and index Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 s DE-604 Schmidt, Gunther 1952- Verfasser (DE-588)129408999 aut Erscheint auch als Online-Ausgabe 978-1-4704-1368-2 Mathematical surveys and monographs 141 (DE-604)BV000018014 141 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017092222&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mazʹja, Vladimir Gilelevič 1937- Schmidt, Gunther 1952- Approximate approximations Mathematical surveys and monographs Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4120913-8 |
| title | Approximate approximations |
| title_auth | Approximate approximations |
| title_exact_search | Approximate approximations |
| title_full | Approximate approximations Vladimir Maz'ya ; Gunther Schmidt |
| title_fullStr | Approximate approximations Vladimir Maz'ya ; Gunther Schmidt |
| title_full_unstemmed | Approximate approximations Vladimir Maz'ya ; Gunther Schmidt |
| title_short | Approximate approximations |
| title_sort | approximate approximations |
| topic | Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017092222&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT mazʹjavladimirgilelevic approximateapproximations AT schmidtgunther approximateapproximations |