Complex proofs of real theorems:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2012
|
| Schriftenreihe: | University Lecture Series
58 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | XI, 90 Seiten |
| ISBN: | 9780821875599 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV039916644 | ||
| 003 | DE-604 | ||
| 005 | 20230821 | ||
| 007 | t | ||
| 008 | 120227s2012 xxu |||| 00||| eng d | ||
| 010 | |a 2011045859 | ||
| 020 | |a 9780821875599 |c alk. paper |9 978-0-8218-7559-9 | ||
| 035 | |a (OCoLC)767719672 | ||
| 035 | |a (DE-599)BVBBV039916644 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-91G |a DE-384 |a DE-355 |a DE-188 |a DE-824 |a DE-20 |a DE-706 |a DE-19 |a DE-83 | ||
| 050 | 0 | |a QA331.7 | |
| 082 | 0 | |a 515/.9 | |
| 084 | |a SK 700 |0 (DE-625)143253: |2 rvk | ||
| 084 | |a MAT 300f |2 stub | ||
| 084 | |a 30E10 |2 msc | ||
| 084 | |a MAT 460f |2 stub | ||
| 084 | |a MAT 410f |2 stub | ||
| 100 | 1 | |a Lax, Peter D. |d 1926- |e Verfasser |0 (DE-588)130442437 |4 aut | |
| 245 | 1 | 0 | |a Complex proofs of real theorems |c Peter D. Lax, Lawrence Zalcman |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2012 | |
| 300 | |a XI, 90 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a University Lecture Series |v 58 | |
| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Functions of complex variables | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Functional analysis | |
| 650 | 7 | |a Functions of a complex variable |2 msc | |
| 650 | 7 | |a Approximations and expansions |2 msc | |
| 650 | 7 | |a Operator theory |2 msc | |
| 650 | 7 | |a Harmonic analysis on Euclidean spaces |2 msc | |
| 650 | 7 | |a Functional analysis |2 msc | |
| 650 | 7 | |a Real functions |2 msc | |
| 650 | 7 | |a Number theory |2 msc | |
| 650 | 7 | |a Probability theory and stochastic processes |2 msc | |
| 650 | 0 | 7 | |a Operatortheorie |0 (DE-588)4075665-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionentheorie |0 (DE-588)4018935-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Funktionentheorie |0 (DE-588)4018935-1 |D s |
| 689 | 0 | 1 | |a Operatortheorie |0 (DE-588)4075665-8 |D s |
| 689 | 0 | 2 | |a Harmonische Analyse |0 (DE-588)4023453-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Zalcman, Lawrence |d 1943- |e Verfasser |0 (DE-588)107819090 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-0-8218-8489-8 |
| 830 | 0 | |a University Lecture Series |v 58 |w (DE-604)BV004153846 |9 58 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024775213&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024775213 | ||
Datensatz im Suchindex
| _version_ | 1804148875199512576 |
|---|---|
| adam_text | Titel: Complex proofs of real theorems
Autor: Lax, Peter D
Jahr: 2012
Contents
Preface
IX
Chapter 1. Early Triumphs 1
1.1. The Basel Problem 1
1.2. The Fundamental Theorem of Algebra 3
Chapter 2. Approximation 5
2.1. Completeness of Weighted Powers 5
2.2. The Miintz Approximation Theorem 7
Chapter 3. Operator Theory 13
3.1. The Fuglede-Putnam Theorem 13
3.2. Toeplitz Operators 14
3.3. A Theorem of Beurling 22
3.4. Prediction Theory 28
3.5. The Riesz-Thorin Convexity Theorem 34
3.6. The Hilbert Transform 40
Chapter 4. Harmonic Analysis 45
4.1. Fourier Uniqueness via Complex Variables (d apres D.J. Newman) 45
4.2. A Curious Functional Equation 46
4.3. Uniqueness and Nonuniqueness for the Radon Transform 49
4.4. The Paley-Wiener Theorem 54
4.5. The Titchmarsh Convolution Theorem 57
4.6. Hardy s Theorem 58
Chapter 5. Banach Algebras: The Gleason-Kahane-Zelazko Theorem 63
Chapter 6. Complex Dynamics: The Fatou-Julia-Baker Theorem 67
Chapter 7. The Prime Number Theorem 71
Coda: Transonic Airfoils and SLE 77
Appendix A. Liouville s Theorem in Banach Spaces 81
Appendix B. The Borel-Caratheodory Inequality 83
Appendix C. Phragmen-Lindelof Theorems 85
Appendix D. Normal Families 87
|
| any_adam_object | 1 |
| author | Lax, Peter D. 1926- Zalcman, Lawrence 1943- |
| author_GND | (DE-588)130442437 (DE-588)107819090 |
| author_facet | Lax, Peter D. 1926- Zalcman, Lawrence 1943- |
| author_role | aut aut |
| author_sort | Lax, Peter D. 1926- |
| author_variant | p d l pd pdl l z lz |
| building | Verbundindex |
| bvnumber | BV039916644 |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331.7 |
| callnumber-search | QA331.7 |
| callnumber-sort | QA 3331.7 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 700 |
| classification_tum | MAT 300f MAT 460f MAT 410f |
| ctrlnum | (OCoLC)767719672 (DE-599)BVBBV039916644 |
| dewey-full | 515/.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| 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>02545nam a2200649 cb4500</leader><controlfield tag="001">BV039916644</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230821 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">120227s2012 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2011045859</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821875599</subfield><subfield code="c">alk. paper</subfield><subfield code="9">978-0-8218-7559-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)767719672</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039916644</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-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA331.7</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.9</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 700</subfield><subfield code="0">(DE-625)143253:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 300f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30E10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 460f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 410f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lax, Peter D.</subfield><subfield code="d">1926-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)130442437</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Complex proofs of real theorems</subfield><subfield code="c">Peter D. Lax, Lawrence Zalcman</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 90 Seiten</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">University Lecture Series</subfield><subfield code="v">58</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of complex variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximation theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functions of a complex variable</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Approximations and expansions</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Operator theory</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Harmonic analysis on Euclidean spaces</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functional analysis</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Real functions</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Probability theory and stochastic processes</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionentheorie</subfield><subfield code="0">(DE-588)4018935-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktionentheorie</subfield><subfield code="0">(DE-588)4018935-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</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">Zalcman, Lawrence</subfield><subfield code="d">1943-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)107819090</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">978-0-8218-8489-8</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">University Lecture Series</subfield><subfield code="v">58</subfield><subfield code="w">(DE-604)BV004153846</subfield><subfield code="9">58</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=024775213&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024775213</subfield></datafield></record></collection> |
| id | DE-604.BV039916644 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:14:05Z |
| institution | BVB |
| isbn | 9780821875599 |
| language | English |
| lccn | 2011045859 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024775213 |
| oclc_num | 767719672 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-188 DE-824 DE-20 DE-706 DE-19 DE-BY-UBM DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-188 DE-824 DE-20 DE-706 DE-19 DE-BY-UBM DE-83 |
| physical | XI, 90 Seiten |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | University Lecture Series |
| series2 | University Lecture Series |
| spelling | Lax, Peter D. 1926- Verfasser (DE-588)130442437 aut Complex proofs of real theorems Peter D. Lax, Lawrence Zalcman Providence, RI American Mathematical Society 2012 XI, 90 Seiten txt rdacontent n rdamedia nc rdacarrier University Lecture Series 58 Includes bibliographical references Functions of complex variables Approximation theory Functional analysis Functions of a complex variable msc Approximations and expansions msc Operator theory msc Harmonic analysis on Euclidean spaces msc Functional analysis msc Real functions msc Number theory msc Probability theory and stochastic processes msc Operatortheorie (DE-588)4075665-8 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Operatortheorie (DE-588)4075665-8 s Harmonische Analyse (DE-588)4023453-8 s DE-604 Zalcman, Lawrence 1943- Verfasser (DE-588)107819090 aut Erscheint auch als Online-Ausgabe 978-0-8218-8489-8 University Lecture Series 58 (DE-604)BV004153846 58 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024775213&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lax, Peter D. 1926- Zalcman, Lawrence 1943- Complex proofs of real theorems University Lecture Series Functions of complex variables Approximation theory Functional analysis Functions of a complex variable msc Approximations and expansions msc Operator theory msc Harmonic analysis on Euclidean spaces msc Functional analysis msc Real functions msc Number theory msc Probability theory and stochastic processes msc Operatortheorie (DE-588)4075665-8 gnd Funktionentheorie (DE-588)4018935-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4018935-1 (DE-588)4023453-8 |
| title | Complex proofs of real theorems |
| title_auth | Complex proofs of real theorems |
| title_exact_search | Complex proofs of real theorems |
| title_full | Complex proofs of real theorems Peter D. Lax, Lawrence Zalcman |
| title_fullStr | Complex proofs of real theorems Peter D. Lax, Lawrence Zalcman |
| title_full_unstemmed | Complex proofs of real theorems Peter D. Lax, Lawrence Zalcman |
| title_short | Complex proofs of real theorems |
| title_sort | complex proofs of real theorems |
| topic | Functions of complex variables Approximation theory Functional analysis Functions of a complex variable msc Approximations and expansions msc Operator theory msc Harmonic analysis on Euclidean spaces msc Functional analysis msc Real functions msc Number theory msc Probability theory and stochastic processes msc Operatortheorie (DE-588)4075665-8 gnd Funktionentheorie (DE-588)4018935-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Functions of complex variables Approximation theory Functional analysis Functions of a complex variable Approximations and expansions Operator theory Harmonic analysis on Euclidean spaces Real functions Number theory Probability theory and stochastic processes Operatortheorie Funktionentheorie Harmonische Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024775213&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004153846 |
| work_keys_str_mv | AT laxpeterd complexproofsofrealtheorems AT zalcmanlawrence complexproofsofrealtheorems |