{"id":4336,"date":"2015-02-02T11:00:51","date_gmt":"2015-02-02T19:00:51","guid":{"rendered":"https:\/\/blogschapman.wpenginepowered.com\/scst\/2015\/02\/02\/daniel-alpay\/"},"modified":"2026-07-17T23:23:24","modified_gmt":"2026-07-17T23:23:24","slug":"daniel-alpay","status":"publish","type":"post","link":"https:\/\/blogs.chapman.edu\/scst\/2015\/02\/02\/daniel-alpay\/","title":{"rendered":"Daniel Alpay to Speak at Chapman University"},"content":{"rendered":"

If you were unable to attend, you may view Dr. Alpay’s lecture slides here<\/a>.<\/strong><\/em><\/p><\/blockquote>\n


\n

\"Daniel<\/a>

\n Professor Daniel Alpay, Earl Katz Chair in Algebraic System Theory, Department of Mathematics, at Ben-Gurion University of the Negev<\/figcaption><\/figure>
\n
\nSchmid College is excited to announce that next week, Professor Daniel Alpay will be on campus giving a lecture series. Alpay is very influential in the field of Complex Analysis and is the Earl Katz Chair in Algebraic System Theory, Department of Mathematics, at Ben-Gurion University of the Negev.
\n
\nThe title of his lecture series is “Infinite dimensional analysis, non commutative stochastic, distributions and applications” and all his talks will be held in
\nVon Neumann Hall<\/a><\/strong>
\n, located at 545 West Palm Ave. Please mark your calendar for these lectures and join us!
\n <\/p>\n

Tuesday, February 10 | 10:00 a.m. to noon<\/strong>
\n
\nLecture 1: Positive definite functions, Countably normed spaces, their duals and Gelfand triples
\n
\nAbstract:
\nWe survey the notion of positive definite functions and of the associated reproducing kernel Hilbert spaces. Examples are given relevant to the sequel of the talks. We also define nuclear spaces and Gelfand triples, and give as examples Schwartz functions and tempered distributions.
\n <\/p>\n

Thursday, February 12 | 11:00 a.m. to 1:00 p.m.<\/strong>
\n
\nLecture 2: Bochner and Bochner-Minlos theorem. Hida’s white noise space and Kondratiev’s spaces of stochastic distributions, Stationary increments stochastic processes. Linear stochastic systems.
\n
\nAbstract:
\nWe discuss the Bochner-Minlos theorem and build Hida’s white noise space. We build stochastic processes in this space with derivative in the Kondratiev space of stochastic distributions. This space is an algebra with the Wick product, and its structure of tallows to define stochastic integrals.
\n <\/p>\n

Friday, February 13, 10:00 a.m. to noon
\n<\/strong>
\nLecture 3: Fock spaces and non commutative stochastic distributions | The free setting. Free (non commutative) stochastic processes.
\n
\nAbstract:
\nWe present the non commutative counterpart of the previous talk. We will review the main definitions of free analysis required and then present, and build stationary increments non commutative processes.
\nThe values of their derivatives are now continuous operators from the space of non commutative stochastic test functions into the space of non commutative stochastic distributions.<\/p>\n","protected":false},"excerpt":{"rendered":"

If you were unable to attend, you may view Dr. Alpay’s lecture slides here. Schmid College is […]<\/p>\n","protected":false},"author":74,"featured_media":2139,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"custom_author_name":"","chapman_pin_hero_slider":"","footnotes":""},"categories":[6,3,7],"tags":[9],"class_list":["post-4336","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-events","category-news","category-scstresearch","tag-mathematics"],"yoast_head":"\nSchmid College of Science and Technology | Chapman Blogs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.chapman.edu\/scst\/2015\/02\/02\/daniel-alpay\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Daniel Alpay to Speak at Chapman University - Schmid College of Science and Technology\" \/>\n<meta property=\"og:description\" content=\"If you were unable to attend, you may view Dr. Alpay’s lecture slides here. 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