weiter

6 files changed, 292 insertions, 0 deletions

diff --git a/.cspell.yaml b/.cspell.yaml
new file mode 100644
index 0000000..8497152
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+    path: "./.cspell/my-cspell-dicts/biblatex.txt"
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+    path: "./.cspell/my-cspell-dicts/names.txt"
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diff --git a/.cspell/citekeys.txt b/.cspell/citekeys.txt
new file mode 100644
index 0000000..69913d8
--- /dev/null
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+Gårding-1959
+Gelfand1964
+Thirring1958
+Messiah1
+Messiah2
+Reeh1961
+Ruelle1962
+Mackey1963
+Borchers1964
+Streater1964
+Wightman1964
+Epstein1965
+Jauch-1968
+Wightman1996
+Cohen-Tannoudji2
+Cohen-Tannoudji1
+Cohen-Tannoudji3
+Cohen-Tannoudji
+Itzykson1980
+Ramond1989
+WeinbergI
+WeinbergII
+Ryder1996
+Araki1999
+WeinbergIII
+Folland2008
+Takhtajan2008
+Dimock2011
+Strocchi2013
+Gustafson2020
+Talagrand2022
+Weinberg
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diff --git a/bib/distributions.bib b/bib/distributions.bib
new file mode 100644
index 0000000..81746dc
--- /dev/null
+++ b/bib/distributions.bib
@@ -0,0 +1,170 @@
+@book{Halperin1952,
+   series =    {Canadian Mathematical Congress, Lecture Series},
+   volume =    {1},
+   title =     {Introduction to the Theory of Distributions},
+   author =    {Israel Halperin},
+   note =    {Based on the lectures given by \textsc{L. Schwartz}.},
+   publisher = {University of Toronto Press},
+   year =      {1952},
+}
+@book{Lighthill1958,
+   title =     {Introduction to Fourier Analysis and Generalised Functions},
+   author =    {M. J. Lighthill},
+   publisher = {Cambridge University Press},
+   year =      {1958},
+}
+@article{Gårding1959,
+ doi       = {10.1007/bf02724838},
+ title     = {Functional Analysis},
+ author    = {L. Gårding and J. L. Lions},
+ publisher = {Società Italiana di Fisica},
+ journaltitle   = {Il Nuovo Cimento},
+ issn      = {0029-6341,1827-6121},
+ year      = {1959},
+ volume    = {14},
+ issue     = {1 Supplement},
+ pages     = {9--66},
+}
+@book{Erdélyi1962,
+   title =     {Operational Calculus and Generalized Functions},
+   author =    {Arthur Erdélyi},
+   publisher = {Holt, Rinehart and Winston},
+   year =      {1962},
+}
+@book{Schwartz1966,
+   title =     {Théorie des distributions},
+   author =    {Laurent Schwartz},
+   publisher = {Hermann},
+   year =      {1966},
+   language =      {french},
+}
+@book{Trèves1967,
+   title =     {Topological Vector Spaces, Distributions and Kernels},
+   author =    {François Trèves},
+   publisher = {Academic Press},
+   year =      {1967},
+}
+@book{Jones1982,
+   title =     {The Theory of Generalised Functions},
+   author =    {D. S. Jones},
+   publisher = {Cambridge University Press},
+   year =      {1982},
+   edition =   {2},
+}
+@book{GenFunc1,
+  maintitle    = {Generalized Functions},
+  volume       = {1},
+  title        = {Properties and Operations},
+  author       = {I. M. Gel'fand and G. E. Shilov},
+  publisher    = {Academic Press},
+  year         = {1964},
+  language     = {english},
+  origlanguage = {russian},
+  translator   = {Eugene Saletan},
+}
+@book{GenFunc2,
+  maintitle    = {Generalized Functions},
+  volume       = {2},
+  title        = {Spaces of Fundamental and Generalized Functions},
+  author       = {I. M. Gel'fand and G. E. Shilov},
+  publisher    = {Academic Press},
+  year         = {1968},
+  language     = {english},
+  origlanguage = {russian},
+  translator   = {Morris D. Friedman and Amiel Feinstein and Christian P. Peltzer},
+}
+@book{GenFunc3,
+  maintitle    = {Generalized Functions},
+  volume       = {3},
+  title        = {Theory of Differential Equations },
+  author       = {I. M. Gel'fand and G. E. Shilov},
+  publisher    = {Academic Press},
+  year         = {1967},
+  language     = {english},
+  origlanguage = {russian},
+  translator   = {Meinhard E. Mayer},
+}
+@book{GenFunc4,
+  maintitle    = {Generalized Functions},
+  volume       = {4},
+  title        = {Applications of Harmonic Analysis},
+  author       = {I. M. Gel'fand and N. Ya. Vilenkin},
+  publisher    = {Academic Press},
+  year         = {1964},
+  language     = {english},
+  origlanguage = {russian},
+  translator   = {Amiel Feinstein},
+}
+@book{GenFunc5,
+  maintitle    = {Generalized Functions},
+  volume       = {5},
+  title        = {Integral Geometry and Representation Theory},
+  author       = {I. M. Gel'fand and M. I. Graev and N. Ya. Vilenkin},
+  publisher    = {Academic Press},
+  year         = {1966},
+  language     = {english},
+  origlanguage = {russian},
+  translator   = {Eugene Saletan},
+}
+@book{GenFunc6,
+  maintitle    = {Generalized Functions},
+  volume       = {6},
+  title        = {Representation Theory and Automorphic Functions},
+  author       = {I. M. Gel'fand and M. I. Graev and I. I. Pyatetskii-Shapiro},
+  publisher    = {W. B. Saunders},
+  year         = {1969},
+  language     = {english},
+  origlanguage = {russian},
+  translator   = {K. A. Hirsch},
+}
+@book{Richards1990,
+   title =     {The Theory of Distributions},
+   subtitle =     {A Nontechnical Introduction},
+   author =    {Ian Richards and Heekyung Youn},
+   publisher = {Cambridge University Press},
+   year =      {1990},
+}
+@book{Strichartz1994,
+   title =     {A Guide to Distribution Theory and Fourier Transforms},
+   author =    {Robert Strichartz},
+   publisher = {CRC Press},
+   year =      {1994},
+   series =    {Studies in Advanced Mathematics},
+   edition =   {},
+   volume =    {},
+}
+@article{Wightman1996,
+ doi       = {10.1002/prop.2190440204},
+ title     = {How It Was Learned that Quantized Fields Are Operator-Valued Distributions},
+ author    = {A. S. Wightman},
+ publisher = {John Wiley and Sons},
+ journaltitle   = {Fortschritte der Physik},
+ issn      = {0015-8208,1521-3978},
+ year      = {1996},
+ volume    = {44},
+ issue     = {2},
+ pages     = {143--178},
+}
+@book{Friedlander1999,
+   title =     {Introduction to the Theory of Distributions},
+   author =    {F. G. Friedlander and M. Joshi},
+   publisher = {Cambridge University Press},
+   year =      {1999},
+   edition =   {2},
+}
+@book{Hoskins2005,
+   title =     {Theories of Generalised Functions},
+   title =     {Distributions, Ultradistributions and Other Generalised Functions},
+   author =    {R. F. Hoskins and J. S. Pinto},
+   publisher = {Woodhead Publishing},
+   year =      {2005},
+   edition =   {2},
+}
+@book{Hoskins2009,
+   title =     {Delta Functions},
+   subtitle =     {Introduction to Generalised Functions},
+   author =    {R. F. Hoskins},
+   publisher = {Woodhead Publishing},
+   year =      {2009},
+   edition =   {2},
+}
diff --git a/bib/standard.bib b/bib/standard.bib
new file mode 100644
index 0000000..5149b71
--- /dev/null
+++ b/bib/standard.bib
@@ -0,0 +1,13 @@
+@unpublished{Longo2008,
+   title =     {Lectures on Conformal Nets},
+   author =    {Roberto Longo},
+   year =      {2008},
+   language =      {english},
+}
+@misc{Neeb2017,
+      title={On the geometry of standard subspaces}, 
+      author={Karl-Hermann Neeb},
+      year={2017},
+      eprint={1707.05506},
+      archivePrefix={arXiv},
+}