[{"date_created":"2020-06-24T13:03:13Z","type":"journal_article","department":[{"_id":"749"}],"publication":"Journal of Cognition and Culture","issue":"2","citation":{"apa":"Rohlfing, K., Rehm, M., &#38; Goecke, K. U. (2003). Situatedness: The interplay between context(s) and situation. <i>Journal of Cognition and Culture</i>, <i>3</i>(2), 132–157.","ieee":"K. Rohlfing, M. Rehm, and K. U. Goecke, “Situatedness: The interplay between context(s) and situation,” <i>Journal of Cognition and Culture</i>, vol. 3, no. 2, pp. 132–157, 2003.","chicago":"Rohlfing, Katharina, Matthias Rehm, and Karl Ulrich Goecke. “Situatedness: The Interplay between Context(s) and Situation.” <i>Journal of Cognition and Culture</i> 3, no. 2 (2003): 132–57.","short":"K. Rohlfing, M. Rehm, K.U. Goecke, Journal of Cognition and Culture 3 (2003) 132–157.","mla":"Rohlfing, Katharina, et al. “Situatedness: The Interplay between Context(s) and Situation.” <i>Journal of Cognition and Culture</i>, vol. 3, no. 2, Brill, 2003, pp. 132–57.","ama":"Rohlfing K, Rehm M, Goecke KU. Situatedness: The interplay between context(s) and situation. <i>Journal of Cognition and Culture</i>. 2003;3(2):132-157.","bibtex":"@article{Rohlfing_Rehm_Goecke_2003, title={Situatedness: The interplay between context(s) and situation}, volume={3}, number={2}, journal={Journal of Cognition and Culture}, publisher={Brill}, author={Rohlfing, Katharina and Rehm, Matthias and Goecke, Karl Ulrich}, year={2003}, pages={132–157} }"},"page":"132-157","_id":"17298","publisher":"Brill","language":[{"iso":"eng"}],"user_id":"14931","volume":3,"status":"public","year":"2003","title":"Situatedness: The interplay between context(s) and situation","publication_identifier":{"issn":["1567-7095"]},"author":[{"id":"50352","last_name":"Rohlfing","first_name":"Katharina","full_name":"Rohlfing, Katharina"},{"first_name":"Matthias","last_name":"Rehm","full_name":"Rehm, Matthias"},{"last_name":"Goecke","first_name":"Karl Ulrich","full_name":"Goecke, Karl Ulrich"}],"date_updated":"2023-02-01T13:16:58Z","intvolume":"         3"},{"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-25T10:17:51Z","extern":"1","abstract":[{"lang":"eng","text":"It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is proven, namely a positive radial product formula for the non-symmetric counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby means that one of the factors in the product formula is replaced by its mean over a sphere. The key to this product formula is a positivity result for the Dunkl-type spherical mean operator. It can also be interpreted in the sense that the Dunkl-type generalized translation of radial functions is positivity-preserving. As an application, we construct Dunkl-type homogeneous Markov processes associated with radial probability distributions."}],"publication":"Transactions of the American Mathematical Society","issue":"6","doi":"10.48550/ARXIV.MATH/0210137","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-01-26T17:44:10Z","intvolume":"       355","title":"A positive radial product formula for the Dunkl kernel","year":"2003","author":[{"full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit","id":"37390"}],"citation":{"bibtex":"@article{Rösler_2003, title={A positive radial product formula for the Dunkl kernel}, volume={355}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>}, number={6}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit}, year={2003}, pages={2413–2438} }","chicago":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.","ama":"Rösler M. A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>. 2003;355(6):2413–2438. doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>","short":"M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.","ieee":"M. Rösler, “A positive radial product formula for the Dunkl kernel,” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, pp. 2413–2438, 2003, doi: <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","mla":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, American Mathematical Society (AMS), 2003, pp. 2413–2438, doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","apa":"Rösler, M. (2003). A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>, <i>355</i>(6), 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>"},"user_id":"93826","volume":355,"page":"2413–2438","_id":"39957","publisher":"American Mathematical Society (AMS)","status":"public"},{"user_id":"73564","volume":5,"editor":[{"full_name":"Beyer, Kathrin ","first_name":"Kathrin ","last_name":"Beyer"},{"last_name":"Kreutziger-Herr","first_name":"Annette ","full_name":"Kreutziger-Herr, Annette "}],"page":"277–294","_id":"40539","publisher":"Centaurus","status":"public","place":"Herbolzheim","citation":{"chicago":"Grotjahn, Rebecca. “Episode Aus Dem Leben Einer Künstlerin – Harriet Smithson, Hector Berlioz Und Die Symphonie Fantastique.” In <i>Musik. Frau. Sprache. Interdisziplinäre Frauen- Und Genderforschung an Der Hochschule Für Musik Und Theater Hannover</i>, edited by Kathrin  Beyer, Annette  Kreutziger-Herr, and Hochschule f. Musik u. Theater Hannover, 5:277–294. Beiträge Zur Kultur- Und Sozialgeschichte Der Musik. Herbolzheim: Centaurus, 2003.","short":"R. Grotjahn, in: K. Beyer, A. Kreutziger-Herr, Hochschule f. Musik u. Theater Hannover (Eds.), Musik. Frau. Sprache. Interdisziplinäre Frauen- Und Genderforschung an Der Hochschule Für Musik Und Theater Hannover, Centaurus, Herbolzheim, 2003, pp. 277–294.","apa":"Grotjahn, R. (2003). Episode aus dem Leben einer Künstlerin – Harriet Smithson, Hector Berlioz und die Symphonie fantastique. In K. Beyer, A. Kreutziger-Herr, &#38; Hochschule f. Musik u. Theater Hannover (Eds.), <i>Musik. Frau. Sprache. Interdisziplinäre Frauen- und Genderforschung an der Hochschule für Musik und Theater Hannover</i> (Vol. 5, pp. 277–294). Centaurus.","ieee":"R. Grotjahn, “Episode aus dem Leben einer Künstlerin – Harriet Smithson, Hector Berlioz und die Symphonie fantastique,” in <i>Musik. Frau. Sprache. Interdisziplinäre Frauen- und Genderforschung an der Hochschule für Musik und Theater Hannover</i>, vol. 5, K. Beyer, A. Kreutziger-Herr, and Hochschule f. Musik u. Theater Hannover, Eds. Herbolzheim: Centaurus, 2003, pp. 277–294.","ama":"Grotjahn R. Episode aus dem Leben einer Künstlerin – Harriet Smithson, Hector Berlioz und die Symphonie fantastique. In: Beyer K, Kreutziger-Herr A, Hochschule f. Musik u. Theater Hannover, eds. <i>Musik. Frau. Sprache. Interdisziplinäre Frauen- Und Genderforschung an Der Hochschule Für Musik Und Theater Hannover</i>. Vol 5. Beiträge zur Kultur- und Sozialgeschichte der Musik. Centaurus; 2003:277–294.","bibtex":"@inbook{Grotjahn_2003, place={Herbolzheim}, series={Beiträge zur Kultur- und Sozialgeschichte der Musik}, title={Episode aus dem Leben einer Künstlerin – Harriet Smithson, Hector Berlioz und die Symphonie fantastique}, volume={5}, booktitle={Musik. Frau. Sprache. Interdisziplinäre Frauen- und Genderforschung an der Hochschule für Musik und Theater Hannover}, publisher={Centaurus}, author={Grotjahn, Rebecca}, editor={Beyer, Kathrin  and Kreutziger-Herr, Annette  and Hochschule f. Musik u. Theater Hannover}, year={2003}, pages={277–294}, collection={Beiträge zur Kultur- und Sozialgeschichte der Musik} }","mla":"Grotjahn, Rebecca. “Episode Aus Dem Leben Einer Künstlerin – Harriet Smithson, Hector Berlioz Und Die Symphonie Fantastique.” <i>Musik. Frau. Sprache. Interdisziplinäre Frauen- Und Genderforschung an Der Hochschule Für Musik Und Theater Hannover</i>, edited by Kathrin  Beyer et al., vol. 5, Centaurus, 2003, pp. 277–294."},"series_title":"Beiträge zur Kultur- und Sozialgeschichte der Musik","language":[{"iso":"eng"}],"date_updated":"2023-01-27T15:04:49Z","intvolume":"         5","title":"Episode aus dem Leben einer Künstlerin – Harriet Smithson, Hector Berlioz und die Symphonie fantastique","year":"2003","publication_identifier":{"isbn":["978-3-8255-0403-8 "]},"corporate_editor":["Hochschule f. Musik u. Theater Hannover"],"author":[{"last_name":"Grotjahn","first_name":"Rebecca","full_name":"Grotjahn, Rebecca","id":"193"}],"type":"book_chapter","department":[{"_id":"535"}],"date_created":"2023-01-27T15:03:59Z","publication":"Musik. Frau. Sprache. Interdisziplinäre Frauen- und Genderforschung an der Hochschule für Musik und Theater Hannover"},{"status":"public","page":"25–33","_id":"40536","publisher":"Merseburger","user_id":"73564","volume":164,"editor":[{"first_name":"Thomas ","last_name":"Synofzik","full_name":"Synofzik, Thomas "},{"first_name":"Susanne ","last_name":"Rode-Breymann","full_name":"Rode-Breymann, Susanne "}],"citation":{"ieee":"R. Grotjahn, “Frauenberuf Sängerin. Ein Thema musikwissenschaftlicher Frauen- und Geschlechterforschung,” in <i>Rheinische Sängerinnen des 20. Jahrhunderts. Eine Dokumentation in Wort und Ton</i>, vol. 164, T. Synofzik and S. Rode-Breymann, Eds. Kassel: Merseburger, 2003, pp. 25–33.","apa":"Grotjahn, R. (2003). Frauenberuf Sängerin. Ein Thema musikwissenschaftlicher Frauen- und Geschlechterforschung. In T. Synofzik &#38; S. Rode-Breymann (Eds.), <i>Rheinische Sängerinnen des 20. Jahrhunderts. Eine Dokumentation in Wort und Ton</i> (Vol. 164, pp. 25–33). Merseburger.","chicago":"Grotjahn, Rebecca. “Frauenberuf Sängerin. Ein Thema Musikwissenschaftlicher Frauen- Und Geschlechterforschung.” In <i>Rheinische Sängerinnen Des 20. Jahrhunderts. Eine Dokumentation in Wort Und Ton</i>, edited by Thomas  Synofzik and Susanne  Rode-Breymann, 164:25–33. Beiträge Zur Rheinischen Musikgeschichte. Kassel: Merseburger, 2003.","short":"R. Grotjahn, in: T. Synofzik, S. Rode-Breymann (Eds.), Rheinische Sängerinnen Des 20. Jahrhunderts. Eine Dokumentation in Wort Und Ton, Merseburger, Kassel, 2003, pp. 25–33.","mla":"Grotjahn, Rebecca. “Frauenberuf Sängerin. Ein Thema Musikwissenschaftlicher Frauen- Und Geschlechterforschung.” <i>Rheinische Sängerinnen Des 20. Jahrhunderts. Eine Dokumentation in Wort Und Ton</i>, edited by Thomas  Synofzik and Susanne  Rode-Breymann, vol. 164, Merseburger, 2003, pp. 25–33.","bibtex":"@inbook{Grotjahn_2003, place={Kassel}, series={Beiträge zur Rheinischen Musikgeschichte}, title={Frauenberuf Sängerin. Ein Thema musikwissenschaftlicher Frauen- und Geschlechterforschung}, volume={164}, booktitle={Rheinische Sängerinnen des 20. Jahrhunderts. Eine Dokumentation in Wort und Ton}, publisher={Merseburger}, author={Grotjahn, Rebecca}, editor={Synofzik, Thomas  and Rode-Breymann, Susanne }, year={2003}, pages={25–33}, collection={Beiträge zur Rheinischen Musikgeschichte} }","ama":"Grotjahn R. Frauenberuf Sängerin. Ein Thema musikwissenschaftlicher Frauen- und Geschlechterforschung. In: Synofzik T, Rode-Breymann S, eds. <i>Rheinische Sängerinnen Des 20. Jahrhunderts. Eine Dokumentation in Wort Und Ton</i>. Vol 164. Beiträge zur Rheinischen Musikgeschichte. Merseburger; 2003:25–33."},"place":"Kassel","title":"Frauenberuf Sängerin. Ein Thema musikwissenschaftlicher Frauen- und Geschlechterforschung","year":"2003","author":[{"first_name":"Rebecca","last_name":"Grotjahn","full_name":"Grotjahn, Rebecca","id":"193"}],"publication_identifier":{"isbn":["978-3-87537-303-5"]},"date_updated":"2023-01-27T14:49:26Z","intvolume":"       164","series_title":"Beiträge zur Rheinischen Musikgeschichte","language":[{"iso":"eng"}],"publication":"Rheinische Sängerinnen des 20. Jahrhunderts. Eine Dokumentation in Wort und Ton","date_created":"2023-01-27T14:49:07Z","type":"book_chapter","department":[{"_id":"535"}]},{"date_updated":"2023-01-27T14:49:15Z","year":"2003","status":"public","title":"Die Entdeckung der Terra incognita – Benjamin Bilse und sein reisendes Orchester","author":[{"id":"193","full_name":"Grotjahn, Rebecca","first_name":"Rebecca","last_name":"Grotjahn"}],"publication_identifier":{"isbn":["9783830503828"]},"user_id":"73564","editor":[{"full_name":"Meyer, Christian ","last_name":"Meyer","first_name":"Christian "}],"page":"253–281","publisher":"Berliner Wissenschafts-Verlag","_id":"40534","language":[{"iso":"ger"}],"series_title":"Musical Life in Europe 1600–1900. Circulation, Institutions, Representation","publication":"Le Musicien et ses voyages. Pratiques, réseaux et représentations","citation":{"apa":"Grotjahn, R. (2003). Die Entdeckung der Terra incognita – Benjamin Bilse und sein reisendes Orchester. In C. Meyer (Ed.), <i>Le Musicien et ses voyages. Pratiques, réseaux et représentations</i> (pp. 253–281). Berliner Wissenschafts-Verlag.","ieee":"R. Grotjahn, “Die Entdeckung der Terra incognita – Benjamin Bilse und sein reisendes Orchester,” in <i>Le Musicien et ses voyages. Pratiques, réseaux et représentations</i>, C. Meyer, Ed. Berlin: Berliner Wissenschafts-Verlag, 2003, pp. 253–281.","short":"R. Grotjahn, in: C. Meyer (Ed.), Le Musicien et ses voyages. Pratiques, réseaux et représentations, Berliner Wissenschafts-Verlag, Berlin, 2003, pp. 253–281.","chicago":"Grotjahn, Rebecca. “Die Entdeckung der Terra incognita – Benjamin Bilse und sein reisendes Orchester.” In <i>Le Musicien et ses voyages. Pratiques, réseaux et représentations</i>, edited by Christian  Meyer, 253–281. Musical Life in Europe 1600–1900. Circulation, Institutions, Representation. Berlin: Berliner Wissenschafts-Verlag, 2003.","mla":"Grotjahn, Rebecca. “Die Entdeckung der Terra incognita – Benjamin Bilse und sein reisendes Orchester.” <i>Le Musicien et ses voyages. Pratiques, réseaux et représentations</i>, edited by Christian  Meyer, Berliner Wissenschafts-Verlag, 2003, pp. 253–281.","ama":"Grotjahn R. Die Entdeckung der Terra incognita – Benjamin Bilse und sein reisendes Orchester. In: Meyer C, ed. <i>Le Musicien et ses voyages. Pratiques, réseaux et représentations</i>. Musical Life in Europe 1600–1900. Circulation, Institutions, Representation. Berliner Wissenschafts-Verlag; 2003:253–281.","bibtex":"@inbook{Grotjahn_2003, place={Berlin}, series={Musical Life in Europe 1600–1900. Circulation, Institutions, Representation}, title={Die Entdeckung der Terra incognita – Benjamin Bilse und sein reisendes Orchester}, booktitle={Le Musicien et ses voyages. Pratiques, réseaux et représentations}, publisher={Berliner Wissenschafts-Verlag}, author={Grotjahn, Rebecca}, editor={Meyer, Christian }, year={2003}, pages={253–281}, collection={Musical Life in Europe 1600–1900. Circulation, Institutions, Representation} }"},"type":"book_chapter","department":[{"_id":"535"}],"date_created":"2023-01-27T14:41:43Z","place":"Berlin"},{"publication":"Neues Leben. Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e. V.","citation":{"mla":"Grotjahn, Rebecca. “‚An der Spitze der musikalischen Bewegung‘ – Die Reisen der Bilse’schen Kapelle.” <i>Neues Leben. Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e. V.</i>, vol. 30, 2003, pp. 34–40.","apa":"Grotjahn, R. (2003). ‚An der Spitze der musikalischen Bewegung‘ – Die Reisen der Bilse’schen Kapelle. <i>Neues Leben. Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e. V.</i>, <i>30</i>, 34–40.","ieee":"R. Grotjahn, “‚An der Spitze der musikalischen Bewegung‘ – Die Reisen der Bilse’schen Kapelle,” <i>Neues Leben. Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e. V.</i>, vol. 30, pp. 34–40, 2003.","short":"R. Grotjahn, Neues Leben. Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e. V. 30 (2003) 34–40.","ama":"Grotjahn R. ‚An der Spitze der musikalischen Bewegung‘ – Die Reisen der Bilse’schen Kapelle. <i>Neues Leben Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e V</i>. 2003;30:34–40.","chicago":"Grotjahn, Rebecca. “‚An der Spitze der musikalischen Bewegung‘ – Die Reisen der Bilse’schen Kapelle.” <i>Neues Leben. Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e. V.</i> 30 (2003): 34–40.","bibtex":"@article{Grotjahn_2003, title={‚An der Spitze der musikalischen Bewegung‘ – Die Reisen der Bilse’schen Kapelle}, volume={30}, journal={Neues Leben. Mitteilungsblatt der Deutschen Johann-Strauss-Gesellschaft e. V.}, author={Grotjahn, Rebecca}, year={2003}, pages={34–40} }"},"related_material":{"record":[{"status":"public","id":"40538","relation":"later_version"}]},"date_created":"2023-01-27T14:56:05Z","type":"journal_article","department":[{"_id":"535"}],"status":"public","year":"2003","title":"‚An der Spitze der musikalischen Bewegung‘ – Die Reisen der Bilse’schen Kapelle","author":[{"id":"193","first_name":"Rebecca","last_name":"Grotjahn","full_name":"Grotjahn, Rebecca"}],"date_updated":"2023-01-27T14:58:27Z","intvolume":"        30","page":"34–40","_id":"40537","language":[{"iso":"ger"}],"user_id":"73564","volume":30},{"publication":"Willi Forst. Ein Filmstil aus Wien","citation":{"bibtex":"@inbook{Grotjahn_2003, place={Wien}, title={‚Ein Lied wie dieses muss gebracht werden, ausgestattet – wie ein Theaterstück‘. Willi Forst und die Inszenierung des Singens}, booktitle={Willi Forst. Ein Filmstil aus Wien}, publisher={Filmarchiv Austria}, author={Grotjahn, Rebecca}, editor={Loacker, Armin }, year={2003}, pages={165–187} }","chicago":"Grotjahn, Rebecca. “‚Ein Lied wie dieses muss gebracht werden, ausgestattet – wie ein Theaterstück‘. Willi Forst und die Inszenierung des Singens.” In <i>Willi Forst. Ein Filmstil aus Wien</i>, edited by Armin  Loacker, 165–187. Wien: Filmarchiv Austria, 2003.","ama":"Grotjahn R. ‚Ein Lied wie dieses muss gebracht werden, ausgestattet – wie ein Theaterstück‘. Willi Forst und die Inszenierung des Singens. In: Loacker A, ed. <i>Willi Forst. Ein Filmstil aus Wien</i>. Filmarchiv Austria; 2003:165–187.","short":"R. Grotjahn, in: A. Loacker (Ed.), Willi Forst. Ein Filmstil aus Wien, Filmarchiv Austria, Wien, 2003, pp. 165–187.","ieee":"R. Grotjahn, “‚Ein Lied wie dieses muss gebracht werden, ausgestattet – wie ein Theaterstück‘. Willi Forst und die Inszenierung des Singens,” in <i>Willi Forst. Ein Filmstil aus Wien</i>, A. Loacker, Ed. Wien: Filmarchiv Austria, 2003, pp. 165–187.","apa":"Grotjahn, R. (2003). ‚Ein Lied wie dieses muss gebracht werden, ausgestattet – wie ein Theaterstück‘. Willi Forst und die Inszenierung des Singens. In A. Loacker (Ed.), <i>Willi Forst. Ein Filmstil aus Wien</i> (pp. 165–187). Filmarchiv Austria.","mla":"Grotjahn, Rebecca. “‚Ein Lied wie dieses muss gebracht werden, ausgestattet – wie ein Theaterstück‘. Willi Forst und die Inszenierung des Singens.” <i>Willi Forst. Ein Filmstil aus Wien</i>, edited by Armin  Loacker, Filmarchiv Austria, 2003, pp. 165–187."},"type":"book_chapter","department":[{"_id":"535"}],"place":"Wien","date_created":"2023-01-27T15:07:27Z","date_updated":"2023-01-27T15:17:10Z","status":"public","year":"2003","title":"‚Ein Lied wie dieses muss gebracht werden, ausgestattet – wie ein Theaterstück‘. Willi Forst und die Inszenierung des Singens","author":[{"id":"193","last_name":"Grotjahn","first_name":"Rebecca","full_name":"Grotjahn, Rebecca"}],"publication_identifier":{"isbn":["9783901932243"]},"user_id":"73564","editor":[{"full_name":"Loacker, Armin ","first_name":"Armin ","last_name":"Loacker"}],"page":"165–187","publisher":"Filmarchiv Austria","_id":"40540","language":[{"iso":"ger"}]},{"department":[{"_id":"263"}],"type":"journal_article","date_created":"2023-01-30T11:52:09Z","abstract":[{"lang":"eng","text":"We present a comprehensive treatment of the second-order theory of complex random vectors and wide-sense stationary (WSS) signals. The main focus is on the improper case, in which the complementary covariance does not vanish. Accounting for the information present in the complementary covariance requires the use of widely linear transformations. Based on these, we present the eigenanalysis of complex vectors and apply it to the problem of rank reduction through principal components. We also investigate joint properties of two complex vectors by introducing canonical correlations, which paves the way for a discussion of the Wiener filter and its rank-reduced version. We link the concepts of propriety and joint propriety to eigenanalysis and canonical correlation analysis, respectively. Our treatment is extended to WSS signals. In particular, we give a result on the asymptotic distribution of eigenvalues and examine the connection between WSS, proper, and analytic signals."}],"citation":{"bibtex":"@article{Schreier_Scharf_2003, title={Second-order analysis of improper complex random vectors and processes}, volume={51}, DOI={<a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>}, number={3}, journal={{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.}, author={Schreier, Peter J. and Scharf, Louis L.}, year={2003}, pages={714–725} }","ama":"Schreier PJ, Scharf LL. Second-order analysis of improper complex random vectors and processes. <i>{IEEE} {T}rans\\ {S}ignal\\ {P}rocess</i>. 2003;51(3):714–725. doi:<a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>","mla":"Schreier, Peter J., and Louis L. Scharf. “Second-Order Analysis of Improper Complex Random Vectors and Processes.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 51, no. 3, 2003, pp. 714–725, doi:<a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>.","short":"P.J. Schreier, L.L. Scharf, {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess. 51 (2003) 714–725.","chicago":"Schreier, Peter J., and Louis L. Scharf. “Second-Order Analysis of Improper Complex Random Vectors and Processes.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i> 51, no. 3 (2003): 714–725. <a href=\"https://doi.org/10.1109/TSP.2002.808085\">https://doi.org/10.1109/TSP.2002.808085</a>.","ieee":"P. J. Schreier and L. L. Scharf, “Second-order analysis of improper complex random vectors and processes,” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 51, no. 3, pp. 714–725, 2003, doi: <a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>.","apa":"Schreier, P. J., &#38; Scharf, L. L. (2003). 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In particular, we apply our techniques to small Frobenius groups and all imprimitive degree 8 groups such that the corresponding fields have only a degree 2 and no degree 4 subfield.","lang":"eng"}],"publication":"Journal of Number Theory","issue":"2","keyword":["Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"102"}],"date_created":"2022-12-23T09:53:23Z","date_updated":"2023-03-06T09:19:16Z","publication_status":"published","intvolume":"        99","year":"2003","title":"Minimal discriminants for fields with small Frobenius groups as Galois groups","author":[{"first_name":"Claus","last_name":"Fieker","full_name":"Fieker, Claus"},{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"}],"publication_identifier":{"issn":["0022-314X"]},"doi":"10.1016/s0022-314x(02)00071-9","language":[{"iso":"eng"}],"citation":{"chicago":"Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” <i>Journal of Number Theory</i> 99, no. 2 (2003): 318–37. <a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">https://doi.org/10.1016/s0022-314x(02)00071-9</a>.","short":"C. 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